Unconditionality in tensor products

DOI10.1007/BF02761492zbMath0397.46017OpenAlexW2016080679MaRDI QIDQ1253765

Carsten Schuett

Publication date: 1978

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761492

zbMATH Keywords

Tensor ProductsGl-Lust ConstantOperator IdealP-Summing OperatorsUnconditional Basis ConstantUnconditionality

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Tensor products in functional analysis (46M05)

Related Items

A counterexample using 4-linear forms ⋮ Vector lattice structure in spaces of absolutely summing operators ⋮ Some conditions for the existence of the structure of a vector lattice in operator spaces ⋮ Diagonals of injective tensor products of Banach lattices with bases ⋮ A remark on the unconditional structure of L(E,F) ⋮ A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces ⋮ Normed lattices ⋮ Unnamed Item ⋮ Unconditional basis and Gordon-Lewis constants for spaces of polynomials ⋮ Unconditionality for $m$-homogeneous polynomials on $\ell _{\infty }^{n}$ ⋮ Mixed Bohr radius in several variables ⋮ Complete sets need not be reduced in Minkowski spaces ⋮ The Bohr radius of the unit ball of ⋮ Schauder bases for symmetric tensor products

Cites Work

• Absolutely summing operators and local unconditional structures
• Banach ideals of operators with applications
• On the best constants in the Khinchin inequality
• Produits tensoriels d'espaces de Banach et classes d'applications linéaires
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