Spectral theorem for definitizable normal linear operators on Krein spaces

Kaltenbäck, Michael

doi:10.1007/s00020-016-2288-z

Datensatz Zitierlink:

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

Titel:

Spectral theorem for definitizable normal linear operators on Krein spaces

Zitat:

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

Verlags-DOI:

10.1007/s00020-016-2288-z

CatalogPlus:

AC11360112

Publikationstyp:

Artikel - Forschungsartikel

Sprache:

Englisch

Autor_innen:

Kaltenbäck, Michael

Organisationseinheit:

E101 - Institut für Analysis und Scientific Computing

Zeitschrift:

Integral Equations and Operator Theory

ISSN:

0378-620X

Datum (veröffentlicht):

Jun-2016

Umfang:

Verlag:

Birkhäuser

Peer Reviewed:

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.

Weitere 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>.

Lizenz:

CC BY 4.0