Mappings preserving zero products

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

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Abstract

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
Volume155
Issue number1
DOIs
Publication statusPublished - 2003 Jan 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Chebotar, M. A., Ke, W. F., Lee, P. H., & Wong, N. C. (2003). Mappings preserving zero products. Studia Mathematica, 155(1), 77-94. https://doi.org/10.4064/sm155-1-6