Affiliation:
1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar Iran
Abstract
Abstract
Let 𝒜 and ℬ be two prime C
*-algebras. In this paper, we investigate the additivity of map Φ from 𝒜 onto ℬ that are bijective unital and satisfies
Φ
(
A
P
+
λ
P
A
∗
)
=
Φ
(
A
)
Φ
(
P
)
+
λ
Φ
(
P
)
Φ
(
A
)
∗
,
$$\Phi(AP+\lambda PA^{*})=\Phi(A)\Phi(P)+\lambda \Phi(P)\Phi(A)^{*}, $$
for all A ∊ 𝒜 and P ∊ {P
1, I
𝒜 − P
1} where P
1 is a nontrivial projection in 𝒜 and λ∊ {−1, +1}. Then, Φ is *-additive.
Cited by
27 articles.
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