Weakly compact embedding of non-commutative symmetric spaces

Authors: Olga S. Sadovskaya

Source: E-Journal of Analysis and Applied Mathematics, Vol 2025, Pp 9-16 (2025)

Subject Terms: noncommutative function spaces, noncommutative lorentz spaces, QA299.6-433, T57-57.97, Applied mathematics. Quantitative methods, noncommutative marcinkiewicz spaces, Analysis

Matrix evaluations of noncommutative rational functions and Waring problems.

Authors: Brešar, Matej, Volčič, Jurij

Source: Selecta Mathematica, New Series; Nov2025, Vol. 31 Issue 5, p1-16, 16p

Subject Terms: EIGENVALUES, MATRICES (Mathematics), NONCOMMUTATIVE function spaces, MATRIX decomposition, POLYNOMIALS, LINEAR systems, ALGEBRAIC equations, MATRIX functions

Kuroda's theorem for n‐tuples in semifinite von Neumann algebras.

Authors: Ber, Aleksey, Sukochev, Fedor, Zanin, Dmitriy, Zhao, Hongyin

Source: Journal of the London Mathematical Society; Nov2025, Vol. 112 Issue 5, p1-32, 32p

Subject Terms: VON Neumann algebras, SELFADJOINT operators, LORENTZ spaces, NONCOMMUTATIVE function spaces

Purity function of three isotopic harmonic oscillators.

Authors: Abidi, A.

Source: Modern Physics Letters A; 10/10/2025, Vol. 40 Issue 31, p1-15, 15p

Subject Terms: QUANTIZATION (Physics), HARMONIC oscillators, QUANTUM mechanics, HAMILTONIAN systems, NUMERICAL analysis, NONCOMMUTATIVE function spaces, WIGNER distribution

Iteration theory of noncommutative maps.

Authors: Belinschi, Serban T., Shamovich, Eli

Source: Journal of Noncommutative Geometry; 2025, Vol. 19 Issue 4, p1343-1366, 24p

Subject Terms: FIXED point theory, NONCOMMUTATIVE function spaces, ITERATIVE methods (Mathematics), SEMIGROUPS (Algebra)

Noncommutative Nest Hardy Spaces and Martingales: Noncommutative nest Hardy spaces and martingales

Authors: Potapov, Denis, Sukochev, Fedor, Zhou, Dejian

Source: International Mathematics Research Notices. 2024:13724-13757

Subject Terms: Noncommutative function spaces, Harmonic analysis on Euclidean spaces

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The ball-covering property of non-commutative spaces of operators on Banach spaces

Authors: Bao, Qiyao, Liu, Rui, Shen, Jie

Source: Banach Journal of Mathematical Analysis. 19

Subject Terms: Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, unconditional bases, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, FOS: Mathematics, Calkin algebra, non-commutative spaces of operators, ball-covering property, Spaces of operators, tensor products, approximation properties, 46B20, 46B15, 46B28, Noncommutative function spaces, quotient Banach algebras, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2412.07137

Transference of multilinear Fourier and Schur multipliers acting on noncommutative $L_p$ -spaces for non-unimodular groups.

Authors: Vos, Gerrit

Source: Glasgow Mathematical Journal; May2025, Vol. 67 Issue 2, p197-223, 27p

Subject Terms: NONCOMMUTATIVE function spaces, MATHEMATICS, PERIODICAL articles

Wigner function for charged particles with spin 0 in non-commutative space.

Authors: You, Dehong¹ (AUTHOR) youge211@163.com, Wang, Yao¹ (AUTHOR), Fu, Qi-Ming¹ (AUTHOR) fuqiming@snut.edu.cn, He, Junfeng¹ (AUTHOR), Lou, Benzhuo¹ (AUTHOR)

Source: Annals of Physics. Oct2025, Vol. 481, pN.PAG-N.PAG. 1p.

Subject Terms: *WIGNER distribution, *NONCOMMUTATIVE function spaces, *PARTICLE physics, *ELECTROMAGNETIC fields, *PHASE space, *PARTICLE spin

A Hörmander–Mikhlin theorem for higher rank simple Lie groups: A Hörmander-Mikhlin theorem for higher rank simple Lie groups

Authors: José M. Conde‐Alonso, Adrián M. González‐Pérez, Javier Parcet, Eduardo Tablate

Source: Journal of the London Mathematical Society. 111

Subject Terms: Mathematics - Functional Analysis, Semisimple Lie groups and their representations, FOS: Mathematics, Operator spaces and completely bounded maps, Multipliers for harmonic analysis in several variables, Noncommutative function spaces, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2201.08740

Calderón–Zygmund theory with noncommuting kernels via $\mathrm H_1^c$: Calderón-Zygmund theory with noncommuting kernels via \(\text{H}_1^c\)

Authors: Cano-Mármol, Antonio Ismael, Ricard, Éric

Contributors: Laboratoire de Mathématiques Nicolas Oresme (LMNO), Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS), ANR-19-CE40-0002,ANCG,Analyse non commutative sur les groupes et les groupes quantiques(2019)

Source: Studia Mathematica. 277:65-97

Subject Terms: non-commutative \(L_p\) space, atoms, BMO space, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Noncommutative measure and integration, Hardy space, [MATH]Mathematics [math], 0101 mathematics, Function spaces arising in harmonic analysis, Calderón-Zygmund theory, 01 natural sciences, Noncommutative function spaces, von Neumann algebra

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Access URL: https://zbmath.org/7927016
https://doi.org/10.4064/sm230908-9-2

The ball-covering property of noncommutative symmetric spaces

Authors: Huang, Jinghao, Kudaybergenov, Karimbergen, Liu, Rui

Source: Studia Mathematica. 277:169-190

Subject Terms: Geometry and structure of normed linear spaces, symmetric operator space, General theory of von Neumann algebras, ball-covering property, Noncommutative function spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), von Neumann algebra

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Modulated (C,α)-ergodic theorems in noncommutative Lp-spaces.

Authors: Hong, Guixiang¹ (AUTHOR) gxhong@hit.edu.cn, Jing, Yuanyuan¹ (AUTHOR) yuanyuanjing@whu.edu.cn, Zhang, Xin^1,2 (AUTHOR) xinzhang2022@whu.edu.cn

Source: Journal of Functional Analysis. Jan2026, Vol. 290 Issue 1, pN.PAG-N.PAG. 1p.

Subject Terms: *NONCOMMUTATIVE function spaces, *ERGODIC theory, *OPERATOR functions

Compactness criteria in quasi-Banach symmetric operator spaces associated with a non-commutative torus

Authors: J. Huang, Y. Nessipbayev, F. Sukochev, D. Zanin

Source: Journal of Functional Analysis. 289:110946

Subject Terms: Compactness, Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.), equicontinuity, compactness, (non-commutative) symmetric spaces, Compactness in topological linear spaces, angelic spaces, etc, Compactness in Banach (or normed) spaces, Noncommutative function spaces, quasi-Banach spaces

File Description: application/xml

Access URL: https://zbmath.org/8036431
https://doi.org/10.1016/j.jfa.2025.110946

On Riesz type factorization for noncommutative Hardy spaces

Authors: Turdebek N. Bekjan

Source: Advances in Operator Theory. 10

Subject Terms: subdiagonal algebras, Riesz-type factorization, Szego-type factorization, Linear spaces of operators, Haagerup noncommutative \(H^p\)-space, Noncommutative function spaces

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Tensor algebras of subproduct systems and noncommutative function theory.

Authors: Hartz, Michael, Shalit, Orr Moshe

Source: Canadian Journal of Mathematics; Oct2024, Vol. 76 Issue 5, p1587-1608, 22p

Subject Terms: TENSOR algebra, NONCOMMUTATIVE function spaces, GEOMETRIC function theory, LINEAR algebra

Serre duality for dg‐algebras.

Authors: Brown, Michael K.¹ (AUTHOR) mkb0096@auburn.edu, Sridhar, Prashanth² (AUTHOR)

Source: Bulletin of the London Mathematical Society. Aug2025, p1. 20p. 2 Illustrations.

Subject Terms: *NONCOMMUTATIVE algebras, *DUALITY theory (Mathematics), *NONCOMMUTATIVE function spaces

WEAK VERSION OF SYMMETRIC SPACE.

Authors: Bekjan, T. N.

Source: Eurasian Mathematical Journal; 2024, Vol. 15 Issue 3, p38-45, 8p

Subject Terms: VON Neumann algebras, NONCOMMUTATIVE function spaces, SYMMETRIC spaces

People: VON Neumann, John, 1903-1957

Symmetric functionals on simply generated symmetric spaces

Authors: Levitina, Galina, Usachev, Alexandr

Source: Journal of Mathematical Analysis and Applications. 546:129184

Subject Terms: singular trace, Mathematics - Functional Analysis, States of selfadjoint operator algebras, Banach limit, Connes trace formula, Mathematics - Operator Algebras, FOS: Mathematics, symmetric functional, Operator Algebras (math.OA), Noncommutative function spaces, Functional Analysis (math.FA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2404.13870

Duality and interpolation for symmetric Banach spaces of noncommutative quasi-martingales

Authors: Congbian Ma, Liping Fan, Xiaoyan Zhang, Xin Li

Source: Indian Journal of Pure and Applied Mathematics. 54:630-640

Subject Terms: Free probability and free operator algebras, Noncommutative measure and integration, symmetric Banach space, martingale, Noncommutative probability and statistics, Hardy space, 0101 mathematics, 01 natural sciences, Noncommutative function spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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