Maps preserving numerical radius distance on C*-algebras
Zhaofang Bai ; Jinchuan Hou ; Zongben Xu
Studia Mathematica, Tome 162 (2004), p. 97-104 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284950 
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     title = {Maps preserving numerical radius distance on C*-algebras},
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     volume = {162},
     year = {2004},
     pages = {97-104},
     zbl = {1064.47037},
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Zhaofang Bai; Jinchuan Hou; Zongben Xu. Maps preserving numerical radius distance on C*-algebras. Studia Mathematica, Tome 162 (2004) pp. 97-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm162-2-1/