Bounded Linear Operators on Hilbert Spaces

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 II in Basic Classes of Linear Operators, 2003, pp 51-133 from Springer

Abstract: Abstract In this chapter, continuous linear functions defined on a Hilbert space are introduced and studied. These functions are described by infinite matrices in the same way as linear transformations on ℂ n are represented by finite matrices. In this way the chapter may be viewed as a beginning of a theory of infinite matrices. As may be expected, analysis plays a very important role.

Keywords: Hilbert Space; Linear Operator; Orthonormal Basis; Orthogonal Projection; Compact Operator (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7980-4_2

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DOI: 10.1007/978-3-0348-7980-4_2

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