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A Banach space containing non-trivial limited sets but no non-trivial bounding sets

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Publication:757789
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DOI10.1007/BF02773750zbMath0724.46028MaRDI QIDQ757789

Bengt Josefson

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

bounded setrelatively compactrelatively non-compact limited sets


Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Classical Banach spaces in the general theory (46B25) Banach sequence spaces (46B45)


Related Items (2)

A holomorphic characterization of compact sets in Banach spaces ⋮ Polynomials and limited sets



Cites Work

  • Unnamed Item
  • Bounding subsets of \(\ell^\infty (A)\)
  • Bounding subsets of a Banach space
  • Limited Operators and Strict Cosingularity
  • Weak sequential convergence in the dual of a Banach space does not imply norm convergence




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