Constructions of Non-Commutative Lp-Spaces with a Complex Parameter Arising from Modular Actions
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Publication:4380191
DOI10.1142/S0129167X97000494zbMath0904.46046MaRDI QIDQ4380191
Publication date: 11 March 1998
Published in: International Journal of Mathematics (Search for Journal in Brave)
von Neumann algebraweightnon-commutative \(L^p\)-spacesmodular actionsCalderón's complex interpolation methodcomplex one-parameter family
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Abstract interpolation of topological vector spaces (46M35)
Related Items (17)
Reiter's properties \((P_1)\) and \((P_2)\) for locally compact quantum groups ⋮ Schur and Fourier multipliers of an amenable group acting on non-commutative 𝐿^{𝑝}-spaces ⋮ Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups ⋮ An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ On subspaces of non-commutative \(L_{p}\)-spaces. ⋮ Embeddings of non-commutative \(L^p\)-spaces into preduals of finite von Neumann algebras ⋮ The non-commutative flow of weights on a von Neumann algebra ⋮ Noncommutative \(L^p\) structure encodes exactly Jordan structure ⋮ On the structure of isometries between noncommutative \(L^p\) spaces ⋮ Interpolation of Normed Abelian Groups and Non-Commutative Integration ⋮ A HAUSDORFF–YOUNG INEQUALITY FOR LOCALLY COMPACT QUANTUM GROUPS ⋮ The General Form of γ-Family of Quantum Relative Entropies ⋮ WEAK AND STRONG MARTINGALE CONVERGENCES OF GENERALIZED CONDITIONAL EXPECTATIONS IN NONCOMMUTATIVE Lp-SPACES ⋮ The Hausdorff-Young inequality on Lie groups ⋮ On harmonic non-commutative $L^p$-operators on locally compact quantum groups ⋮ BMO spaces of $\sigma $-finite von Neumann algebras and Fourier–Schur multipliers on ${\rm SU}_q(2)$ ⋮ NATURAL BILINEAR FORMS, NATURAL SESQUILINEAR FORMS AND THE ASSOCIATED DUALITY ON NON-COMMUTATIVE Lp-SPACES
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