Mappings preserving zero products

• Autorzy: M. A. Chebotar , W.-F. Ke , P.-H. Lee , N.-C. Wong
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 46L40: Automorphisms
• 08A35: Automorphisms, endomorphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 155
• Numer: 1
• Strony: 77-94

Daty

wydano

2003

Twórcy

autor

M. A. Chebotar

• Chang Jung Christian University, Kway Jen, Tainan 711, Taiwan

autor

W.-F. Ke

• Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan

autor

P.-H. Lee

• Department of Mathematics, National Taiwan University, Taipei 106, Taiwan

autor

N.-C. Wong

• Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan

Identyfikatory

DOI

10.4064/sm155-1-6