A Riemann type theorem for series of operators on Banach spaces

DOI10.1017/S0004972700037370zbMath1070.47500OpenAlexW2124608671MaRDI QIDQ4470020

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Publication date: 22 June 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700037370

zbMATH Keywords

Banach spacecompact operatorsunconditional convergenceCauchy seriesKalton's theorem

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

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• Matrix methods in analysis
• Unconditionally convergent series of operators on Banach spaces
• On convergence of double series
• Spaces of compact operators
• A Riemann Type Theorem for Unconditional Convergence of Operators
• Spaces of \(S\)-bounded multiplier convergent series

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