Spectral isometries on non-simple C*-algebras

Martin Mathieu; Ahmed R. Sourour

doi:10.1090/S0002-9939-2013-11704-1

Spectral isometries on non-simple C*-algebras

Martin Mathieu, Ahmed R. Sourour

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

396 Downloads (Pure)

Abstract

We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.

Original language	English
Pages (from-to)	129-145
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	1
Early online date	27 Aug 2013
DOIs	https://doi.org/10.1090/S0002-9939-2013-11704-1
Publication status	Published - Jan 2014

Keywords

Spectral isometries, spectrally bounded operators, Jordan isomorphisms
C*-algebras.

Access to Document

10.1090/S0002-9939-2013-11704-1Licence: Unspecified

Spectral isometries on non-simple C*-algebras
Copyright 2013 American Mathematical Society First published in the Proceedings of the American Mathematical Society in volume 142.
Accepted author manuscript, 147 KBLicence: Unspecified

4 Invited talk
1 Hosting an academic visitor
1 Visiting an external academic institution

Status Report on Spectrally Bounded and Spectrally Isometric Operators
Mathieu, M. (Invited speaker)
26 May 2015
Activity: Talk or presentation types › Invited talk
Spectral Isometries on Banach Algebras
Mathieu, M. (Invited speaker) & Kopecka, E. (Host)
26 Oct 2014
Activity: Talk or presentation types › Invited talk
Status Report on Spectrally Bounded and Spectrally Isometric Operators
Mathieu, M. (Invited speaker) & Jarosz, K. (Host)
23 May 2014
Activity: Talk or presentation types › Invited talk

Cite this

@article{57164241d9c849318a11ca6c6b049cbf,

title = "Spectral isometries on non-simple C*-algebras",

abstract = "We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.",

keywords = "Spectral isometries, spectrally bounded operators, Jordan isomorphisms, C*-algebras.",

author = "Martin Mathieu and Sourour, \{Ahmed R.\}",

year = "2014",

month = jan,

doi = "10.1090/S0002-9939-2013-11704-1",

language = "English",

volume = "142",

pages = "129--145",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - Spectral isometries on non-simple C*-algebras

AU - Mathieu, Martin

AU - Sourour, Ahmed R.

PY - 2014/1

Y1 - 2014/1

N2 - We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.

AB - We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.

KW - Spectral isometries, spectrally bounded operators, Jordan isomorphisms

KW - C-algebras.

U2 - 10.1090/S0002-9939-2013-11704-1

DO - 10.1090/S0002-9939-2013-11704-1

M3 - Article

SN - 0002-9939

VL - 142

SP - 129

EP - 145

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

Spectral isometries on non-simple C*-algebras

Abstract

Keywords

Access to Document

Fingerprint

Activities

Status Report on Spectrally Bounded and Spectrally Isometric Operators

Spectral Isometries on Banach Algebras

Status Report on Spectrally Bounded and Spectrally Isometric Operators

Cite this