Dual of non-commutative Lp-spaces with 0 < p < 1

DOI10.1017/S0305004100065117zbMath0662.46070MaRDI QIDQ3811204

Keiichi Watanabe

Publication date: 1988

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

zbMATH Keywords

quasi-Banach spacesminimal projectionHaagerup's \(L^ p\)-spaces

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (8)

KMS-symmetric Markov semigroups ⋮ On bounded coordinates in GNS spaces ⋮ Contractively decomposable projections on noncommutative \(\mathrm{L}^p\)-spaces ⋮ Atomic decompositions for noncommutative martingales ⋮ On a class of subdiagonal algebras ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces ⋮ Complemented subspaces of spaces of multilinear forms and tensor products. II. Noncommutative \(L_p\) spaces ⋮ On applications of Orlicz spaces to statistical physics

Cites Work

• On the continuity of the map \(\phi\) \(\to | \phi |\) from the predual of a \(W^*\)-algebra
• Operator valued weights in von Neumann algebras. I
• Operator valued weights in von Neumann algebras. II
• Notes on non-commutative integration
• Applications of Uniform Convexity of Noncommutative L p -Spaces
• Positive cones associated with a von Neumann algebra.
• The standard form of von Neumann algebras.
• The spaces 𝐿^{𝑝} with 0<𝑃<1

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