Spectral Properties

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University of Rio de Janeiro

Chapter 8 in Hilbert Space Operators, 2003, pp 75-92 from Springer

Abstract: Abstract One of the fundamental theorems of (linear) functional analysis, namely, the Open Mapping Theorem, says that a continuous linear transformation of a Banach space onto a Banach space is an open mapping (a mapping is open if it maps open sets onto open sets). A crucial corollary is the Inverse Mapping Theorem (see e.g., [32, p. 228]).

Keywords: Hilbert Space; Banach Space; Invariant Subspace; Compact Operator; Complex Hilbert Space (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-1-4612-2064-0_8

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