Remarks on independent sequences and dimension in topological linear spaces

zbMath0926.46001MaRDI QIDQ1127841

Zbigniew Lipecki

Publication date: 10 September 1998

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

Full work available at URL: https://eudml.org/doc/41117

zbMATH Keywords

topological linear spacealgebraic dimension\(F\)-spacedual Banach spacesubsequenceclosed convex setweak* topology\(\omega\)-independenceErdős-Straus theoremlinearly independent sequencemetrizable locally convex spaces

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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Metrizable TAP, HTAP and STAP groups ⋮ On some relationships between biorthogonal systems, linear topologies and the weak‐AFPP ⋮ Direct sums and products in topological groups and vector spaces

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