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math.FA2025
Maps preserving the idempotency of Jordan products
Tatjana Petek, Gordana Radić
Let B(X) be the algebra of all bounded linear operators on a complex Banach space X of dimension at least three. For an arbitrary nonzero complex number t we determine the form of…
math.FA2024
Maps on self-adjoint operators preserving some relations related to commutativity
Mahdi Karder, Tatjana Petek
In this paper, we give the complete description of maps on self-adjoint bounded operators on Hilbert space which preserve a triadic relation involving the difference of operators a…