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Nuclear Operators in Banach Spaces

  • Israel Gohberg
  • Seymour Goldberg
  • Nahum Krupnik
Part of the Operator Theory Advances and Applications book series (OT, volume 116)

Abstract

This chapter contains a brief exposition of nuclear operators in Banach space and their corresponding trace and determinant. It also contains generalizations to Banach space of some of the results in the preceding chapter. One of the main theorems is Theorem 3.1 concerning the trace and determinant of nuclear operators due to Grothendieck. Some asymptotic behavior of eigenvalues of nuclear operators in Banach spaces is presented.

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Copyright information

© Springer Basel AG 2000

Authors and Affiliations

  • Israel Gohberg
    • 1
  • Seymour Goldberg
    • 2
  • Nahum Krupnik
    • 3
  1. 1.School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityIL - Ramat AvivIsrael
  2. 2.Silver SpringUSA
  3. 3.Dept. of Mathematics and Computer ScienceBar Ilan UniversityIL - Ramat GanIsrael

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