Noncommutative \(L^p\) structure encodes exactly Jordan structure

DOI10.1016/j.jfa.2004.09.003zbMath1084.46050arXivmath/0309365OpenAlexW2015602577MaRDI QIDQ1772694

David J. Sherman

Publication date: 21 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0309365

zbMATH Keywords

von Neumann algebraisometrynoncommutative \(L^p\)-spaceJordan isomorphism

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Isometric theory of Banach spaces (46B04) Noncommutative function spaces (46L52)

Related Items (8)

A classification for 2-isometries of noncommutative \(L_p\)-spaces ⋮ Local rigidity for actions of Kazhdan groups on noncommutative L_p-spaces ⋮ The positive contractive part of a noncommutative \(L^{p}\)-space is a complete Jordan invariant ⋮ Fixed point property for universal lattice on Schatten classes ⋮ Transition probabilities of normal states determine the Jordan structure of a quantum system ⋮ Tingley's problem through the facial structure of operator algebras ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Kazhdan’s property $(T)$ with respect to non-commutative $L_{p}$-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• Notes on non-commutative integration
• A factor not anti-isomorphic to itself
• The lattice of weak\(^*\)-closed inner ideals in a \(W^*\)-algebra
• Algebraic aspects in modular theory
• On subspaces of non-commutative \(L_{p}\)-spaces.
• Linear-topological classification of separable \(L_p\)-spaces associated with von Neumann algebras of type I
• A classification for 2-isometries of noncommutative \(L_p\)-spaces
• On the structure of isometries between noncommutative \(L^p\) spaces
• An application of orthoisomorphisms to non-commutative \(L^ p\)-isometries
• Isometries of operator algebras
• A non-commutative extension of abstract integration
• On the geometry of projections in certain operator algebras
• Semi-Inner-Product Spaces
• Lebesgue Decomposition of States on a Von Neumann Algebra
• Applications of Uniform Convexity of Noncommutative L p -Spaces
• Isometries of non-commutative L^p-spaces
• Constructions of Non-Commutative L^p-Spaces with a Complex Parameter Arising from Modular Actions
• Banach embedding properties of non-commutative 𝐿^{𝑝}-spaces
• On isometries of normed linear spaces
• Characterisation of Isometries Between C*-Algebras
• The non-commutative flow of weights on a von Neumann algebra
• Theory of operator algebras I.

This page was built for publication: Noncommutative \(L^p\) structure encodes exactly Jordan structure