Kaltenbäck, M. (2017). Definitizability of Normal Operators on Krein Spaces and Their Functional Calculus. Integral Equations and Operator Theory, 87(4), 461–490. https://doi.org/10.1007/s00020-017-2352-3
E101 - Institut für Analysis und Scientific Computing
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Journal:
Integral Equations and Operator Theory
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ISSN:
0378-620X
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Date (published):
2017
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Number of Pages:
30
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Publisher:
SPRINGER BASEL AG
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Peer reviewed:
Yes
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Keywords:
Krein space; Definitizable operators; Normal operators; Spectral theorem
en
Abstract:
We discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop a functional calculus ϕ↦ϕ(N) which is the proper analogue of ϕ↦∫ϕdE in the Hilbert space situation.