ON A CLASS OF POLYA PROPERTY PRESERVING OPERATORS: On a class of Pólya property preserving operators

Authors: Chiu-Cheng Chang

Source: Tamkang Journal of Mathematics. 27:301-313

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, polynomial series, kernel, Pólya property, duality, 0101 mathematics, Approximation in the complex plane, Borel transform, integral representation, locally holomorphic, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, entire functions of exponential type

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Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/3959/1217
https://zbmath.org/978104
https://zbmath.org/1023060
https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3959

Intrinsic metrics and Lipschitz functions

Authors: Francis Hirsch

Source: Nonlinear Evolution Equations and Related Topics ISBN: 9783764371074

Subject Terms: Dirichlet forms, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Lipschitz function, abstract Wiener space, 0211 other engineering and technologies, intrinsic metric, 02 engineering and technology, Stochastic analysis, 01 natural sciences, carré du champ operator, Sub-Riemannian geometry, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, Dirichlet form, measurable metric

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Access URL: https://zbmath.org/1921147
https://doi.org/10.1007/s000280300001
https://rd.springer.com/chapter/10.1007/978-3-0348-7924-8_2
https://link.springer.com/article/10.1007%2Fs000280300001

Homomorphisms and composition operators on algebras of analytic functions of bounded type

Authors: Domingo García, Daniel Carando, Manuel Maestre

Source: Advances in Mathematics. 197:607-629

Subject Terms: Banach spaces, Mathematics(all), Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, algebras of analytic functions, Holomorphic functions, composition operators, Linear composition operators, Homomorphisms, 0101 mathematics, Infinite-dimensional holomorphy, Polynomials, Rings and algebras of continuous, differentiable or analytic functions, 01 natural sciences

File Description: application/xml

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https://doi.org/10.1016/j.aim.2004.10.018
http://mate.dm.uba.ar/~dcarando/espectadv.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0001870804003597
https://www.sciencedirect.com/science/article/pii/S0001870804003597
https://core.ac.uk/display/81996687
https://dialnet.unirioja.es/servlet/articulo?codigo=1316404

Bolzano’s intermediate-value theorem for quasi-holomorphic maps: Bolzano's intermediate-value theorem for quasi-holomorphic maps

Authors: Aboubakr Bayoumi

Source: Open Mathematics, Vol 3, Iss 1, Pp 76-82 (2005)

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, f-spaces, Infinite-dimensional holomorphy, \(l_p\)-space, 01 natural sciences, bolzano's intermediate-value theorem, 46e50, non locally convex spaces, Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.), infinite-dimensional holomorphy, QA1-939, quasi-holomorphic maps, 0101 mathematics, inverse mapping theorem, Mathematics, 46a16

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https://doi.org/10.2478/bf02475656
https://doaj.org/article/8596589f2ead455d8a6717399e17becc
https://link.springer.com/content/pdf/10.2478/BF02475656.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.doi-10_2478_BF02475656
https://eudml.org/doc/268911
https://link.springer.com/article/10.2478%2FBF02475656

Spaces of N-homogeneous polynomials between Fréchet spaces: Spaces of \(N\)-homogeneous polynomials between Fréchet spaces

Authors: MANGINO, Elisabetta Maria

Source: Journal of Mathematical Analysis and Applications. 297:587-598

Subject Terms: N-homogeneous polynomials, Nachbin-ported topology, Functor Ext1, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, barrelledness, (Spaces of) multilinear mappings, polynomials, Applied Mathematics, 0101 mathematics, Infinite-dimensional holomorphy, Topological invariants ((DN), (\(\Omega\)), etc.) for locally convex spaces, 01 natural sciences, functor ext, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X04002628
https://www.sciencedirect.com/science/article/pii/S0022247X04002628

The Kakutani's precompactness lemma

Authors: Jorge Mujica

Source: Journal of Mathematical Analysis and Applications. 297:477-489

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Compactness, Arzelà-Ascoli Theorem, Applied Mathematics, Linear composition operators, Infinite-dimensional holomorphy, Semimetric spaces, mappings with precompact range, 01 natural sciences, K-continuous, Spaces of linear operators, topological tensor products, approximation properties, \(k\)-spaces, Continuous maps, 0101 mathematics, precompactness lemma, separately continuous, Compactness in topological linear spaces, angelic spaces, etc, Analysis

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Access URL: https://core.ac.uk/display/82351553
https://www.sciencedirect.com/science/article/pii/S0022247X04002240
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04002240

Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces

Authors: D. Klim, Kazimierz Włodarczyk

Source: Journal of Mathematical Analysis and Applications. 295:291-302

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Holomorphic noncontractive map, Applied Mathematics, Wolff's theorem, Fixed point, Invariant CRF-horosphere, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, random iteration, Julia's lemma, Infinite-dimensional holomorphy, 01 natural sciences, Random iteration, Unbounded domain, Fixed-point theorems, complex Banach space, fixed point, Other generalizations of analytic functions (including abstract-valued functions), 0101 mathematics, unbounded domain, invariant CRF-horosphere, holomorphic noncontractive map, Analysis, Complex Banach space

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Access URL: https://core.ac.uk/display/82049996
https://www.sciencedirect.com/science/article/pii/S0022247X04001702

Some Characterizations of the Properties $$ {\widetilde{{LB}}}^{\infty }$$ and LB ∞: Some characterizations of the properties \(\widetilde {LB}^\infty\) and \(LB_\infty\)

Authors: Thuan Quang Thai

Source: Acta Mathematica Sinica, English Series. 20:613-628

Subject Terms: locally bounded, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Locally convex Fréchet spaces and (DF)-spaces, local Dirichlet representation, holomorphic function, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/2130969
https://doi.org/10.1007/s10114-003-0299-6
https://link.springer.com/article/10.1007/s10114-003-0299-6

Approximation of vector valued smooth functions

Authors: Eva C. Farkas

Source: Mathematische Nachrichten. 271:15-21

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Approximation by polynomials, Spaces of vector- and operator-valued functions, approximation property, Spaces of linear operators, topological tensor products, approximation properties, vector valued smooth functions, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310179

Properties of solutions of the cauchy problem for essentially infinite-dimensional evolution equations: Properties of solutions of the Cauchy problem for essentially infinite-dimensional evolution equations

Authors: A. Yu. Mal’tsev

Source: Ukrainian Mathematical Journal. 56:790-798

Subject Terms: Cauchy problem, PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables), Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, essentially infinite-dimensional equation, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/2210412
https://link.springer.com/article/10.1007/PL00022189

The Exponential Representation of Holomorphic Functions of Uniformly Bounded Type: The exponential representation of holomorphic functions of uniformly bounded type

Authors: Thai Thuan Quang

Source: Journal of the Australian Mathematical Society. 76:235-246

Subject Terms: holomorphic functions of uniformly bounded type, separately holomorphic functions, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Locally convex Fréchet spaces and (DF)-spaces, locally convex spa\-ces, linearly absolutely exponential representation system, 0101 mathematics, Infinite-dimensional holomorphy, topological linear invariants, Topological invariants ((DN), (\(\Omega\)), etc.) for locally convex spaces, nuclear Fréchet spaces, 01 natural sciences

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E0AC1743C0EC254FEADB8D8A5FE98721/S1446788700008922a.pdf/div-class-title-the-exponential-representation-of-holomorphic-functions-of-uniformly-bounded-type-div.pdf
http://www.journals.cambridge.org/abstract_S1446788700008922
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700008922

BOUNDARIES FOR AN ALGEBRA OF BOUNDED HOLOMORPHIC FUNCTIONS: Boundaries for an algebra of bounded holomorphic functions

Authors: L.-Romero Grados, Luiza A. Moraes

Source: Journal of the Korean Mathematical Society. 41:231-242

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences, algebras of holomorphic functions, boundary

File Description: application/xml

Access URL: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200411922194624
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2004_v41n1_231

Almost summing mappings

Authors: Daniel Pellegrino

Source: Archiv der Mathematik. 82:68-80

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, homogeneous polynomials, (Spaces of) multilinear mappings, polynomials, FOS: Mathematics, 0101 mathematics, 01 natural sciences, almost \(p\)-summing mappings, absolutely summing mappings, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/pdf/math/0307312
http://arxiv.org/abs/math/0307312
https://link.springer.com/content/pdf/10.1007/s00013-003-0548-z.pdf
https://link.springer.com/article/10.1007/s00013-003-0548-z

Integral holomorphic functions

Authors: Ignacio Zalduendo, Verónica Dimant, Pablo Galindo, Manuel Maestre

Source: Studia Mathematica. 160:83-99

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Duality and reflexivity in normed linear and Banach spaces, Banach spaces of continuous, differentiable or analytic functions, reflexivity, duality, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, Infinite-dimensional holomorphy, integral holomorphic mapping, 01 natural sciences

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89919?download.pdf
https://zbmath.org/2092338
https://doi.org/10.4064/sm160-1-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/160/1/89919/integral-holomorphic-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-1-4
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http://journals.impan.pl/cgi-bin/doi?sm160-1-4

Spaces of Test and Generalized Functions Related to Generalized Translation Operators: Spaces of test and generalized functions related to generalized translation operators

Authors: Yu. M. Berezans’kyi, V. A. Tesko

Source: Ukrainian Mathematical Journal. 55:1907-1979

Subject Terms: infinite tensor product, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Distributions on infinite-dimensional spaces, Wick multiplication, rigged Hilbert space, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), generalized translation operators, 0101 mathematics, White noise theory, (Generalized) eigenfunction expansions of linear operators, rigged Hilbert spaces, 01 natural sciences, Fock space

File Description: application/xml

Access URL: https://zbmath.org/2210389
https://doi.org/10.1023/b:ukma.0000031659.39272.9f
https://link.springer.com/article/10.1023/B%3AUKMA.0000031659.39272.9f
https://imath.kiev.ua/~tesko/pdf/berezansky_tesko_2003%20-%20spaces%20of%20test%20and%20generalized%20functions%20related%20to%20generalized%20translation%20operators.pdf

Strongly almost summing holomorphic mappings: Strongly almost summing holomorphic mappings.

Authors: Daniel Pellegrino

Source: Journal of Mathematical Analysis and Applications. 287:244-252

Subject Terms: Operator ideals, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, summing operators, Applied Mathematics, ideals of polynomials, holomorphy type, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X03005481
https://www.sciencedirect.com/science/article/pii/S0022247X03005481

Nonlinear absolutely summing mappings

Authors: Mário C. Matos

Source: Mathematische Nachrichten. 258:71-89

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), holomorphic mappings, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Banach space, polynomials, (Spaces of) multilinear mappings, polynomials, Multilinear and polynomial operators, nonlinear absolutely summing mappings, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1997811
https://doi.org/10.1002/mana.200310087
https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310087

The PDE-preserving operators on nuclearly entire functions of bounded type

Authors: H. Petersson

Source: Acta Mathematica Hungarica. 100:69-81

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, holomorphic, Infinite-dimensional holomorphy, Rings and algebras of continuous, differentiable or analytic functions, 01 natural sciences, projector, exponential type, convolution operator, invariant, Algebras of operators on Banach spaces and other topological linear spaces, PDE-preserving, Kergin operator, nuclear holomorphy, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

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Access URL: https://link.springer.com/article/10.1023/A%3A1024604100956

Boundaries for algebras of holomorphic functions: Boundaries for algebras of holomorphic functions.

Authors: Luiza A. Moraes, Luis Romero Grados

Source: Journal of Mathematical Analysis and Applications. 281:575-586

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Applied Mathematics, peak points, holomorphic functions, Banach algebras, extreme points, 0101 mathematics, Infinite-dimensional holomorphy, Gowers space, 01 natural sciences, Analysis, boundary

File Description: application/xml

Access URL: https://zbmath.org/1956883
https://doi.org/10.1016/s0022-247x(03)00150-1
https://www.sciencedirect.com/science/article/pii/S0022247X03001501

Hilbert spaces of analytic functions of infinitely many variables

Authors: Andriy Zagorodnyuk, Oleh Lopushansky

Source: Annales Polonici Mathematici. 81:111-122

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, (Spaces of) multilinear mappings, polynomials, Hardy classes on the Hilbert ball, Wiener-type theorem, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/85361?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-2-2
http://journals.impan.pl/cgi-bin/doi?ap81-2-2
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/annales-polonici-mathematici/all/81/2/85361/hilbert-spaces-of-analytic-functions-of-infinitely-many-variables
https://eudml.org/doc/280391
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