LINEAR MAPPINGS THAT PRESERVE POTENT OPERATORS

Authors
Citation
M. Omladic et P. Semrl, LINEAR MAPPINGS THAT PRESERVE POTENT OPERATORS, Proceedings of the American Mathematical Society, 123(4), 1995, pp. 1069-1074
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00029939
Volume
123
Issue
4
Year of publication
1995
Pages
1069 - 1074
Database
ISI
SICI code
0002-9939(1995)123:4<1069:LMTPPO>2.0.ZU;2-C
Abstract
Let H and K be a complex Hilbert spaces, while B(H) and B(K) denote th e algebras of all linear bounded operators on H and K, respectively. W e characterize surjective linear mappings from B(H) onto B(K) that pre serve potent operators in both directions.