A Beurling-Blecher-Labuschagne type theorem for Haagerup noncommutative \(L^p\) spaces

DOI10.1007/S43037-021-00121-1zbMath1472.46066arXiv1906.00841OpenAlexW3134163863MaRDI QIDQ2662212

Turdebek N. Bekjan, Madi Raikhan

Publication date: 9 April 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00841

zbMATH Keywords

invariant subspaceBeurling's theoremsubdiagonal algebrasHaagerup noncommutative \(H^p\)-spaceouter operator

Mathematics Subject Classification ID

Noncommutative function spaces (46L52) Linear spaces of operators (47L05)

Related Items (2)

Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras ⋮ On a class of subdiagonal algebras

Cites Work

• A noncommutative version of \(H ^{p }\) and characterizations of subdiagonal algebras
• Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra
• A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras
• Duality for crossed products and the structure of von Neumann algebras of type III
• Noncommutative Burkholder/Rosenthal inequalities
• Duality for symmetric Hardy spaces of noncommutative martingales
• Interpolation of Haagerup noncommutative Hardy spaces
• Noncommutative Hardy space associated with semi-finite subdiagonal algebras
• The Radon-Nikodym theorem for von Neumann algebras
• Outers for noncommutative H^previsited
• 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
• Une classification des facteurs de type ${\rm III}$
• A Beurling theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras with unitarily invariant norms
• Invariant subspaces for H2 spaces of σ-finite algebras
• Analyticity in Operator Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Beurling-Blecher-Labuschagne type theorem for Haagerup noncommutative \(L^p\) spaces