Opérateurs diagonaux dans les espaces à bases. (Diagonal operators in spaces with a basis)

DOI10.1007/BF01161638zbMath0631.46013MaRDI QIDQ1094625

Abderrazzak Sersouri

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173981

zbMATH Keywords

Schauder basismatrix representationRadon-Nikodym propertydiagonal operatorsshrinkingboundedly completecompact diagonal operators acting on a Banach space with a baseidentification of the (pre)dualreflexivity, existence of a basisspaces of diagonal operatorsunconditional subsequence

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (2)

Operator-valued Fourier Haar multipliers on vector-valued \(L^{1}\) spaces ⋮ Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality

Cites Work

• Unnamed Item
• A class of special L//infinity spaces
• On subspaces of spaces with an unconditional basis and spaces of operators
• The Bidual of the Compact Operators
• Spaces of compact operators and their dual spaces

This page was built for publication: Opérateurs diagonaux dans les espaces à bases. (Diagonal operators in spaces with a basis)