Spectral theorem for definitizable normal linear operators on Krein spaces

Kaltenbäck, Michael

doi:10.1007/s00020-016-2288-z

Record link:

https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:3-1710
http://hdl.handle.net/20.500.12708/123

Title:

Spectral theorem for definitizable normal linear operators on Krein spaces

Citation:

Kaltenbäck, M. (2016). Spectral theorem for definitizable normal linear operators on Krein spaces. Integral Equations and Operator Theory, 85(2), 221–243. https://doi.org/10.1007/s00020-016-2288-z

Publisher DOI:

10.1007/s00020-016-2288-z

CatalogPlus:

AC11360112

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Kaltenbäck, Michael

Organisational Unit:

E101 - Institut für Analysis und Scientific Computing

Journal:

Integral Equations and Operator Theory

ISSN:

0378-620X

Date (published):

Jun-2016

Number of Pages:

Publisher:

Birkhäuser

Peer reviewed:

Yes

Keywords:

Krein space; Definitizable operators; Spectral theorem

Abstract:

In the present note a spectral theorem for normal definitizable linear operators on Krein spaces is derived by developing a functional calculus ϕ↦ϕ(N) which is the proper analogue of ϕ↦∫ϕdE in the Hilbert space situation. This paper is the first systematical study of definitizable normal operators on Krein spaces.

Additional information:

The final publication is available at Springer via <a href="https://doi.org/10.1007/s00020-016-2288-z" target="_blank">https://doi.org/10.1007/s00020-016-2288-z</a>.

License:

CC BY 4.0