On the ``three-space problem for locally quasi-convex topological groups

DOI10.1007/s000130050439zbMath0955.22006OpenAlexW2062532551MaRDI QIDQ1568643

Jesús M. Fernandez Castillo

Publication date: 20 February 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050439

zbMATH Keywords

three-space problemlocally quasi-convex topological group

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Ultraproduct techniques in Banach space theory (46B08) Spaces of operators; tensor products; approximation properties (46B28) General properties and structure of LCA groups (22B05)

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Three-representation problem in Banach spaces, On local quasi-convexity as a three-space property in topological abelian groups, Splittings and cross-sections in topological groups, The diagonal functors, Extending topological abelian groups by the unit circle, Strictly singular quasi-linear maps