Automatic continuity of orthogonality preservers on a non-commutative \(L^p(\tau)\) space

DOI10.1016/j.jfa.2013.01.019zbMath1288.47034OpenAlexW2007147823MaRDI QIDQ1948122

Antonio M. Peralta, Timur Oikhberg

Publication date: 30 April 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.01.019

zbMATH Keywords

non-commutative \(L^p\) spacesorthogonality preserving operators

Mathematics Subject Classification ID

Noncommutative function spaces (46L52) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Orthogonality in \(C^{*}\)-algebras, Band projections and decomposition of normal traces on von Neumann algebras, Preservation of order and orthogonality on preduals of Jordan algebras, One-parameter groups of orthogonality preservers on \(C^*\)-algebras, Linear maps on upper triangular matrices spaces preserving idempotent tensor products, Induced maps on matrices over fields, Orthogonality in \(\ell _p\)-spaces and its bearing on ordered Banach spaces, Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras