Compositions of projections in Banach spaces and relations between approximation properties

DOI10.1216/RMJ-2008-38-4-1253zbMath1178.46014arXiv0811.1763MaRDI QIDQ1011058

Mikhail I. Ostrovskii

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1763

zbMATH Keywords

\(\pi\)-propertycomposition of projectionsfinite-dimensional decomposition (FDD)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (1)

Sufficient enlargements of minimal volume for finite-dimensional normed linear spaces

Cites Work

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• Projections in normed linear spaces and sufficient enlargements
• Finite-dimensional Schauder decompositions in \(\pi^ \lambda\) and dual \(\pi^ \lambda\) spaces
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY
• Sufficient enlargements of minimal volume for two-dimensional normed spaces

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