The Schur multiplication in tensor algebras

DOI10.4064/sm-68-1-1-24zbMath0445.46051OpenAlexW1504667226MaRDI QIDQ3889597

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Publication date: 1980

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218321

zbMATH Keywords

tensor algebrasSchur productSchur multiplicationabsolutely summinginjective tensor productinfinite tensorsHilbertian algebranuclear norms of random matricesquotient algebra of a uniform algebra

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Tensor products in functional analysis (46M05) Linear operators in algebras (47C05)

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Some applications of the Hölder inequality for mixed sums ⋮ Coefficients of multilinear forms on sequence spaces ⋮ Upper bounds for the constants of Bennett's inequality and the Gale–Berlekamp switching game ⋮ Vector-valued Kahane-Salem-Zygmund inequalities with asymptotically bounded constants ⋮ Bohr’s power series theorem in several variables ⋮ Equivalence constants for matrix norms: A problem of Goldberg ⋮ Norm estimates for random multilinear Hankel forms ⋮ Bilinear mappings and trace class ideals ⋮ Asymptotic estimates on the von Neumann inequality for homogeneous polynomials ⋮ Constants of the Kahane-Salem-Zygmund inequality asymptotically bounded by 1

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