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Linear Operators on a Banach Space

In: Basic Classes of Linear Operators

Author

Listed:
  • Israel Gohberg

    (Tel Aviv University, School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences)

  • Seymour Goldberg

    (University of Maryland, Department of Mathematics)

  • Marinus A. Kaashoek

    (Vrije Universiteit Amsterdam, Department of Mathematics and Computer Science)

Abstract

Many of the definitions, theorems and proofs concerning operators in L(H1, H2) carry over verbatim to operators in L(X, Y), where X and Y are Banach spaces. Chapter II, Sections 1, 3, 8 and Theorems 16.1, 16.3 are illustrations of this assertion. We shall refer to these results within the framework of Banach spaces even though they were stated for Hilbert spaces.

Suggested Citation

  • Israel Gohberg & Seymour Goldberg & Marinus A. Kaashoek, 2003. "Linear Operators on a Banach Space," Springer Books, in: Basic Classes of Linear Operators, chapter 0, pages 277-298, Springer.
  • Handle: RePEc:spr:sprchp:978-3-0348-7980-4_12
    DOI: 10.1007/978-3-0348-7980-4_12
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