Maps preserving numerical radius distance on C*-algebras

Zhaofang Bai, Jinchuan Hou, and Zongben Xu. "Maps preserving numerical radius distance on C*-algebras." Studia Mathematica 162.2 (2004): 97-104. <http://eudml.org/doc/284950>.

@article{ZhaofangBai2004,
abstract = {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.},
author = {Zhaofang Bai, Jinchuan Hou, Zongben Xu},
journal = {Studia Mathematica},
keywords = {numerical radius distance; -algebra; central projection; unitary element},
language = {eng},
number = {2},
pages = {97-104},
title = {Maps preserving numerical radius distance on C*-algebras},
url = {http://eudml.org/doc/284950},
volume = {162},
year = {2004},
}

TY - JOUR
AU - Zhaofang Bai
AU - Jinchuan Hou
AU - Zongben Xu
TI - Maps preserving numerical radius distance on C*-algebras
JO - Studia Mathematica
PY - 2004
VL - 162
IS - 2
SP - 97
EP - 104
AB - 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.
LA - eng
KW - numerical radius distance; -algebra; central projection; unitary element
UR - http://eudml.org/doc/284950
ER -