Linear Operators on a Banach Space

Israel Gohberg (), Seymour Goldberg () and Marinus A. Kaashoek ()
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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

Chapter Chapter XII in Basic Classes of Linear Operators, 2003, pp 277-298 from Springer

Abstract: 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.

Keywords: Hilbert Space; Banach Space; Linear Operator; Interior Point; Closed Subspace (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-0348-7980-4_12

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