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Properties of Banach spaces, stable and unstable relative to the gap

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Publication:1096870
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DOI10.1007/BF00970223zbMath0634.47022MaRDI QIDQ1096870

Mikhail I. Ostrovskii

Publication date: 1987

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

gapDunford-Pettis propertyapproximation propertyopeningweak sequential completenessC-convexitynot stable with respect to openingquasireflexivity is stable with respect to openingweak Banach Saks property


Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)


Related Items (4)

Property N for the space mappings of class \(W^ 1_{n,loc}\) ⋮ Grand Sobolev spaces and their applications in geometric function theory and PDEs ⋮ On regularity of mappings inverse to Sobolev mappings ⋮ On convergence analysis of space homeomorphisms



Cites Work

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  • Spectral theory of holomorphic operator-functions in Hilbert space
  • Quasi-Reflexive Spaces
  • Drei Sätze über die n-dimensionale euklidische Sphäre




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