On subseries convergent series and m-quasi-bases in topological linear spaces

DOI10.1007/BF01168388zbMath0496.46006MaRDI QIDQ1170465

Iwo Labuda, Zbigniew Lipecki

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/154850

zbMATH Keywords

quasi-basistopologically linearly independentm-quasi-basissubseries convergent seriestopologically linearly m-independent

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Summability and bases in topological vector spaces (46A35)

Related Items (10)

Remarks on regular \((LF)\)-spaces ⋮ Unnamed Item ⋮ A solution to a problem of De Wilde and Tsirulnikov ⋮ Existence of quasi-bases for separable topological linear spaces ⋮ On a three-space property for Lindelöf \(\Sigma\)-spaces, (WCG)-spaces and the Sobczyk property ⋮ Direct sums and products in topological groups and vector spaces ⋮ Some new classes of Banach-Mackey spaces ⋮ Unnamed Item ⋮ Weakly K-analytic spaces and the three-space property for analyticity ⋮ On some dense compact operator range subspaces in separable Fréchet spaces

Cites Work

• Existence of quasi-bases for separable topological linear spaces
• On minimally subspace-comparable F-spaces
• On non locally convex spaces. II
• Compact convex sets and compact Choquet simplexes
• On the Borelian and Projective Types of Linear Subspaces.
• On the Dimension of a Complete Metrizable Topological Vector Space
• On Infinite-Dimensional Linear Spaces
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