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Linear maps preserving ideals of
Author(s):
Sang
Og
Kim
Abstract | References | Similar articles | Additional information
Abstract:
We show that unital self-adjoint linear bijections of matrix algebras, type
Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B49 Retrieve articles in all Journals with MSC (2000): 47B49
Sang
Og
Kim
Information for authors on submitting citations The following works have cited this article 2. B. E. Johnson, Centralizers and operators reduced by maximal ideals, J. London Math. Soc. 43 (1968), 231-233. M-D. Choi et al, On positive linear maps preserving invertibility, J. Funct. Anal. 59 (1984), 462-469. L. Moln\ar, Some linear preserver problems on $B(H)$ concerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.
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-algebras
factors and abelian 
-algebras preserving maximal left ideals are isomorphisms and we show that a unital continuous linear map of a 
-algebra 
that maps the minimal left ideal 
into itself is the identity map.
concerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321. 
-algebras, Studia Math. 109(1) (1994), 67-72. 
-algebras, Trans. Amer. Math. Soc. 120 (1965), 438-447.