IJPAM: Volume 88, No. 2 (2013)

NUMERICAL RADIUS PRESERVING LINEAR MAPS
ON BANACH ALGEBRAS

Fatemeh Golfarshchi$^1$, Ali Asghar Khalilzadeh$^2$
$^{1,2}$Department of Mathematics
Sahand University of Technology
New City of Sahand, Tabriz, 51335/1996, IRAN


Abstract. Let $A$ and $B$ be unital complex Banach algebras, and $\varphi$ be a unital surjective numerical radius preserving linear map from $A$ into $B$. We discuss a Nagasawa type theorem for this maps and show that $\varphi$ is a Jordan isomorphism, if $A$ and $B$ are commutative.

Received: July 6, 2013

AMS Subject Classification: 46H05, 47B48, 47C15

Key Words and Phrases: Banach algebra, numerical radius preserving, Jordan isomorphism

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DOI: 10.12732/ijpam.v88i2.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 2