On p-convexity and q-concavity of unitary matrix spaces

DOI10.1007/BF01202902zbMath0572.46006OpenAlexW2006941313MaRDI QIDQ1062240

Jonathan Arazy, Pei-Kee Lin

Publication date: 1985

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01202902

zbMATH Keywords

isometrysingular numberscontractive projectionmajorizationsymmetric sequence spaceassociated unitary matrix spacelower-p-estimate

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear spaces of operators (47L05)

Related Items (9)

Lack of isomorphic embeddings of symmetric function spaces into operator ideals ⋮ When weak and local measure convergence implies norm convergence ⋮ RUC-bases in \(E(L_ \infty \overline {\otimes} B(H))\) and \(F(C_ E)\) ⋮ THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR ⋮ On \(p\)-convexity and \(q\)-concavity in non-commutative symmetric spaces ⋮ Embeddings of operator ideals into \(\mathcal{L}_p\)-spaces on finite von Neumann algebras ⋮ On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures ⋮ A Grothendieck factorization theorem on 2-convex Schatten spaces ⋮ Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals

Cites Work

• The cotype and uniform convexity of unitary ideals
• Uniform convexity of unitary ideals
• Basic sequences, embeddings, and the uniqueness of the symmetric structure in unitary matrix spaces
• On the geometry of the unit ball of unitary matrix spaces
• Some remarks on interpolation theorems and the boundness or the triangular projection in unitary matrix spaces
• \(c_ p\)
• A new characterization of the interpolation spaces between $L^p$ and $L^q$
• Triangle inequalities in operator algebras
• Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )
• Inequalities: theory of majorization and its applications
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