Maps preserving numerical radius distance on C*-algebras

• Autorzy: Zhaofang Bai , Jinchuan Hou , Zongben Xu
• Języki publikacji: EN

Abstrakty

EN

We characterize surjective nonlinear maps Φ between unital C*-algebras 𝒜 and ℬ that satisfy w(Φ(A)-Φ(B))) = w(A-B) for all A,B ∈ 𝒜 under a mild condition that Φ(I) - Φ(0) belongs to the center of ℬ, where w(A) is the numerical radius of A and I is the unit of 𝒜.

Kategorie tematyczne

• 47B49: Transformers, preservers (operators on spaces of operators)
• 47H20: Semigroups of nonlinear operators
• 47A12: Numerical range, numerical radius

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 162
• Numer: 2
• Strony: 97-104

Daty

wydano

2004

Twórcy

autor

Zhaofang Bai

• School of Science, Xi'an Jiaotong University, Xi'an, 710049, P.R. China
• Department of Mathematics, Shanxi Teachers University, Linfen, 041004, P.R. China.

autor

Jinchuan Hou

• Department of Mathematics, Shanxi University, Taiyuan, 030000, P.R. China

autor

Zongben Xu

• School of Science, Xi'an Jiaotong University, Xi'an, 710049, P.R. China

Identyfikatory

DOI

10.4064/sm162-2-1