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Linear Maps on C*-Algebras Preserving the Set of Operators that are Invertible in A/J
- Authors
- Kim, Sang Og; Park, Choonkil
- Issue Date
- Mar-2011
- Publisher
- CANADIAN MATHEMATICAL SOC
- Keywords
- preservers; Jordan automorphisms; invertible operators; zero products
- Citation
- CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, v.54, no.1, pp.141 - 146
- Indexed
- SCIE
SCOPUS
- Volume
- 54
- Number
- 1
- Start Page
- 141
- End Page
- 146
- ISSN
- 0008-4395
- Abstract
- For C*-algebras A of real rank zero, we describe linear maps phi on A that are surjective up to ideals J, and pi(A) is invertible in A/J if and only if pi(phi(A)) is invertible in A/J, where A is an element of A and pi: A -> A/J is the quotient map. We also consider similar linear maps preserving zero products on the Calkin algebra.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)