Maps preserving numerical radius distance on C*-algebras

Zhaofang Bai; Jinchuan Hou; Zongben Xu

doi:10.4064/sm162-2-1

Maps preserving numerical radius distance on C*-algebras

Zhaofang Bai
, Jinchuan Hou
, Zongben Xu

Xi'an Jiaotong University
Shanxi Normal University
Shanxi University

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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.

Original language	English
Pages (from-to)	97-104
Number of pages	8
Journal	Studia Mathematica
Volume	162
Issue number	2
DOIs	https://doi.org/10.4064/sm162-2-1
State	Published - 2004
Externally published	Yes

Keywords

C*-algebra
Numerical radius distance

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10.4064/sm162-2-1

Cite this

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title = "Maps preserving numerical radius distance on C*-algebras",

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.",

keywords = "C*-algebra, Numerical radius distance",

author = "Zhaofang Bai and Jinchuan Hou and Zongben Xu",

year = "2004",

doi = "10.4064/sm162-2-1",

language = "英语",

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journal = "Studia Mathematica",

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T1 - Maps preserving numerical radius distance on C*-algebras

AU - Bai, Zhaofang

AU - Hou, Jinchuan

AU - Xu, Zongben

PY - 2004

Y1 - 2004

N2 - 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.

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.

KW - C-algebra

KW - Numerical radius distance

UR - https://www.scopus.com/pages/publications/2542597707

U2 - 10.4064/sm162-2-1

DO - 10.4064/sm162-2-1

M3 - 文章

AN - SCOPUS:2542597707

SN - 0039-3223

VL - 162

SP - 97

EP - 104

JO - Studia Mathematica

JF - Studia Mathematica

IS - 2

ER -

Maps preserving numerical radius distance on C*-algebras

Abstract

Keywords

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