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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Compact sets of compact operators in absence of $l^{1}$
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by Fernando Mayoral PDF
Proc. Amer. Math. Soc. 129 (2001), 79-82 Request permission

Abstract:

We characterize the compactness of a subset of compact operators between Banach spaces when the domain space does not have a copy of $l^{1}.$
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Additional Information
  • Fernando Mayoral
  • Affiliation: Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Camino de los Descubrimientos s/n 41092, Sevilla, Spain
  • Email: mayoral@cica.es
  • Received by editor(s): April 20, 1998
  • Published electronically: September 14, 2000
  • Additional Notes: This research has been partially supported by the DGESIC project no. PB97-0706 and by La Consejería de Educación y Ciencia de La Junta de Andalucia.
  • Communicated by: Dale Alspach
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 79-82
  • MSC (2000): Primary 47B07, 46B25
  • DOI: https://doi.org/10.1090/S0002-9939-00-06007-X
  • MathSciNet review: 1784015