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ISOMETRIES OF THE UNITARY GROUP.

Authors :
Hatori, Osamu
Molnár, Lajos
Source :
Proceedings of the American Mathematical Society. Jun2012, Vol. 140 Issue 6, p2127-2140. 14p.
Publication Year :
2012

Abstract

In this paper we describe all surjective isometries of the unitary group of a complex Hilbert space. A result on Thompson isometries of the space of all invertible positive elements of a unital C*-algebra is also presented. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ISOMETRICS (Mathematics)
*UNITARY groups
*HILBERT space
*C*-algebras
*METRIC spaces
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
00029939
Volume :
140
Issue :
6
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
71911913
Full Text :
https://doi.org/10.1090/S0002-9939-2011-11216-4
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