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Spaces of compact operators and their dual spaces

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Abstract

LetE andF be reflexive Banach spaces andC the space of all compact linear operators fromE toF. A representation of the dual space ofC is given and it is proved thatC is either reflexive or nonconjugate. Applications of these results are also given.

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Authors and Affiliations

  1. Department of Mathematics Technion, Israel Institute of Technology, Haifa, Israel

    Moshe Feder & Pierre Saphar

Authors
  1. Moshe Feder
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  2. Pierre Saphar
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Feder, M., Saphar, P. Spaces of compact operators and their dual spaces. Israel J. Math. 21, 38–49 (1975). https://doi.org/10.1007/BF02757132

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  • DOI: https://doi.org/10.1007/BF02757132

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