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Maps on preserving involution

✍ Scribed by Li Yang; Ling Zhang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 141 KB
Volume: 431
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2009.03.017

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Let M n be the algebra of all n × n complex matrices and P n the set of all idempotents in M n . Suppose φ : M n → M n is a surjective map satisfying A -λB ∈ P n if and only if