Unbounded Operators on Hilbert 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 VI in Basic Classes of Linear Operators, 2003, pp 203-217 from Springer

Abstract: Abstract The theory developed thus far concentrated on bounded linear operators on a Hilbert space which had applications to integral equations. However, differential equations give rise to an important class of unbounded linear operators which are not defined on all of L2([a, b]). In this chapter an introduction to unbounded operators is presented which includes the spectral theorem for the Sturm-Liouville operator. Simple examples of the spectral theory of unbounded self adjoint operators are also given. For a more detailed theory the reader is referred to [G], [GGK1], [K] and [DS2].

Keywords: Hilbert Space; Bounded Linear Operator; Closed Operator; Adjoint Operator; Domain Versus (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-0348-7980-4_6

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