Non-commutative HE(A;l∞) and HE(A;l1) spaces

DOI10.2298/FIL1803955TzbMath1499.46125OpenAlexW2883358374MaRDI QIDQ5023474

O. M. Zholymbaev, Kanat S. Tulenov

Publication date: 21 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1803955t

zbMATH Keywords

von Neumann algebraconditional expectationsubdiagonal algebranon-commutative vector valued symmetric Hardy space

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52)

Cites Work

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• Classical summation in commutative and noncommutative \(L_p\)-spaces
• Characterizations of noncommutative \(H^\infty\)
• The noncommutative \(H^{(r,s)}_{p}({\mathcal A};\ell_{\infty})\) and \(H_{p}({\mathcal A};\ell_{1})\) spaces
• Maximal theorems of Menchoff--Rademacher type in non-commutative \(L_{q}\)-spaces.
• Duality for symmetric Hardy spaces of noncommutative martingales
• Generalized s-numbers of \(\tau\)-measurable operators
• Noncommutative maximal ergodic theorems
• Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$
• Riesz and Szeg\"o type factorizations for noncommutative Hardy spaces
• Maximal Subdiagonal Algebras
• A Note on Invariant Subspaces for Finite Maximal Subdiagonal Algebras
• Analytic functions with values in lattices and symmetric spaces of measurable operators
• Doobs inequality for non-commutative martingales
• Noncommutative Boyd interpolation theorems
• Analyticity in Operator Algebras

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