On the existence of a basis in a complemented subspace of a nuclear Köthe space from class $(d_1)$

DOI10.1070/SM8843zbMath1425.46003OpenAlexW2810792226MaRDI QIDQ4645150

A. K. Dronov, V. M. Kaplitskiĭ

Publication date: 10 January 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8843

zbMATH Keywords

basiscomplemented subspacesinterpolation theory for conesKöthe nuclear spacesPelczyński's conjecture

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Interpolation between normed linear spaces (46B70) Summability and bases in topological vector spaces (46A35) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (1)

Sequence space representations for spaces of entire functions with rapid decay on strips

Cites Work

• To the theory of operators that are bounded on cones in weighted spaces of numerical sequences
• Ein Isomorphiesatz für Potenzreihenräume
• On operators and complemented subspaces in the Köthe spaces determined by sparse matrices
• Geometric properties of Fréchet spaces and selection of basis sequences
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Topological Vector Spaces and Their Applications
• LINEAR PROBLEMS OF COMPLEX ANALYSIS
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