On the splitting of twisted sums, and the three space problem for local convexity

DOI10.4064/SM-82-2-155-189zbMath0582.46004OpenAlexW835566666MaRDI QIDQ3705981

Paweł Domański

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/218699

zbMATH Keywords

weak topologyliftingcomplemented subspacenuclear spacesplitting theoremspermanence propertiesthree space problemlocally bounded spacelocally pseudoconvex spacemetrizable linear spacecontinuous at zero sectioncontinuous at zero selectionTSC-spacetwisted sum of topological vector spaces

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Duality theory for topological vector spaces (46A20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (6)

The Ext group in the categories of topological abelian groups and topological vector spaces ⋮ Nonlinear centralizers with values in \(L_0\) ⋮ Splittings and cross-sections in topological groups ⋮ Quasi-additive mappings. ⋮ On the injective \(C(T)\)-spaces ⋮ Extending topological abelian groups by the unit circle

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