Mappings preserving zero products
M. A. Chebotar ; W.-F. Ke ; P.-H. Lee ; N.-C. Wong
Studia Mathematica, Tome 157 (2003), p. 77-94 / Harvested from The Polish Digital Mathematics Library
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Let θ : ℳ → 𝓝 be a zero-product preserving linear map between algebras. We show that under some mild conditions θ is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, C*-algebras and W*-algebras.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284475 
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M. A. Chebotar; W.-F. Ke; P.-H. Lee; N.-C. Wong. Mappings preserving zero products. Studia Mathematica, Tome 157 (2003) pp. 77-94. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-1-6/