Zero product preserving maps of operator-valued functions

Wen Fong Ke, Bing Ren Li, Ngai Ching Wong

研究成果: Article同行評審

16 引文 斯高帕斯(Scopus)

摘要

Let X, Y be locally compact Hausdorff spaces and M, N be Banach algebras. Let θ: C0(X, M) → C0(Y, N) be a zero product preserving bounded linear map with dense range. We show that θ is given by a continuous field of algebra homomorphisms from M into N if N is irreducible. As corollaries, such a surjective θ arises from an algebra homomorphism, provided that M is a W*-algebra and N is a semi-simple Banach algebra, or both M and N are C*-algebras.

原文English
頁(從 - 到)1979-1985
頁數7
期刊Proceedings of the American Mathematical Society
132
發行號7
DOIs
出版狀態Published - 2004 七月

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

指紋

深入研究「Zero product preserving maps of operator-valued functions」主題。共同形成了獨特的指紋。

引用此