Mappings preserving zero products

M. A. Chebotar, W. F. Ke, P. H. Lee, N. C. Wong

Research output: Contribution to journalArticlepeer-review

86 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)77-94
Number of pages18
JournalStudia Mathematica
Issue number1
Publication statusPublished - 2003

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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