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- W2384231737 abstract "Let A and B be unital C*-algebras, and let J ∈ A, L ∈ B be Hermitian invertible elements. For every T ∈ A and S ∈ B,define TJ(?)=J-1T*J and SL(?)+=L-1S*L. Then in such a way we endow the C*-algebras A and B with indefinite structures. We characterize firstly the Jordan (J, L)-(?)-homomorphisms on C*-algebras. As applications, we further classify the bounded linear maps ?:A→B preserving (J, L)-unitary elements. When A = B(H) and B = B(K), where H and K are infinite dimensional and complete indefinite inner product spaces on real or complex fields, we prove that indefinite-unitary preserving bounded linear surjections are of the form T →UVTV-1((?)T ∈ B(H)) or T→UVT(?)V-1 ((?)T ∈ B(H)), where U ∈ B(K) is indefinite unitary and, V : H→K is generalized indefinite unitary in the first form and generalized indefinite anti-unitary in the second one. Some results on indefinite orthogonality preserving additive maps are also given." @default.
- W2384231737 created "2016-06-24" @default.
- W2384231737 creator A5081413653 @default.
- W2384231737 date "2006-01-01" @default.
- W2384231737 modified "2023-09-23" @default.
- W2384231737 title "A Characterization of Indefinite-unitary Invariant Linear Maps and Relative Results" @default.
- W2384231737 hasPublicationYear "2006" @default.
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