Isometries of non-commutative Lp-spaces

DOI10.1017/S0305004100058515zbMath0483.46041OpenAlexW2046070710MaRDI QIDQ3941882

F. J. Yeadon

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100058515

zbMATH Keywords

noncommutative integrationfaithful semifinite normal tracenoncommutative Lp-spacesfactorization of isometries of preduals

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (29)

On factorization of separating maps on noncommutative L^p-spaces ⋮ A classification for 2-isometries of noncommutative \(L_p\)-spaces ⋮ Isometries of non-commutative Lorentz spaces ⋮ Dilations and rigid factorisations on noncommutative \(L^{p}\)-spaces ⋮ EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES ⋮ Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces ⋮ Local rigidity for actions of Kazhdan groups on noncommutative L_p-spaces ⋮ Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative \(L_p\) space ⋮ Surjective separating maps on noncommutative Lp$L^p$‐spaces ⋮ Isometric actions on L_p-spaces: dependence on the value of p ⋮ Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ A characterization of absolutely dilatable Schur multipliers ⋮ Separating Fourier and Schur multipliers ⋮ Non-isomorphism of 𝐿_{𝑝}-spaces associated with finite and infinite von Neumann algebras ⋮ Extension of projection mappings ⋮ Nonlinear isometries on Schatten-\(p\) class in atomic nest algebras ⋮ Linear-topological classification of separable \(L_p\)-spaces associated with von Neumann algebras of type I ⋮ On isometric embedding ℓpm→S∞ and unique operator space structure ⋮ Some characterizations of the trace norm triangle equality ⋮ Isometric embeddability of \(S_q^m\) into \(S_p^n\) ⋮ Isometries on noncommutative symmetric spaces ⋮ The positive contractive part of a noncommutative \(L^{p}\)-space is a complete Jordan invariant ⋮ Positive linear isometries in symmetric operator spaces ⋮ Fixed point property for universal lattice on Schatten classes ⋮ Noncommutative \(L^p\) structure encodes exactly Jordan structure ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ An application of orthoisomorphisms to non-commutative \(L^ p\)-isometries ⋮ Kazhdan’s property $(T)$ with respect to non-commutative $L_{p}$-spaces

Cites Work

• On the isometries of certain function-spaces
• Isometries of operator algebras
• A non-commutative extension of abstract integration
• On the Jordan Structure of C ∗ -Algebras
• Isometries of 𝐿^{𝑝}-spaces associated with finite von Neumann algebras

This page was built for publication: Isometries of non-commutative L^p-spaces