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 I in Basic Classes of Linear Operators, 2003, pp 1-50 from Springer

Abstract: Abstract In this chapter we review the main properties of the complex n-dimensional space ℂ n and then we study the Hilbert space which is its most natural infinite dimensional generalization. Many applications to classical problems are included (Least squares, Fourier series and others).

Keywords: Hilbert Space; Orthonormal Basis; Product Space; Cauchy Sequence; Orthogonal Complement (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_1

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DOI: 10.1007/978-3-0348-7980-4_1

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