Connection Between Strong and Norming Markushevich Bases in Non‐Separable Banach Spaces

DOI10.1112/S0025579300000140zbMath1139.46022OpenAlexW1998291518MaRDI QIDQ5427157

Georgi A. Aleksandrov, Anatolij M. Plichko

Publication date: 19 November 2007

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300000140

zbMATH Keywords

projectional resolution of the identitystrong \(M\)-basisnorming \(M\)-basis

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15) Nonseparable Banach spaces (46B26)

Related Items

Banach spaces of continuous functions without norming Markushevich bases, An Asplund space with norming Markuševič basis that is not weakly compactly generated, Hilbert generated Banach spaces need not have a norming Markushevich basis

Cites Work

• On certain classes of Markushevich bases
• Asplund spaces and decomposable nonseparable Banach spaces
• Markuševič Bases and Corson Compacta in Duality
• M-bases in spaces of continuous functions on ordinals
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