Nonlinear maps preserving certain subspaces

Abstract Let X be a Banach space and let B(X) be the Banach algebra of all bounded linear operators on X. We characterise surjective (not necessarily linear or additive) maps ϕ : B(X) → B(X) such that F(ϕ (A)◇ ϕ (B)) = F(A ◇ B) for all A,B &am...

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Bibliographic Details
Main Authors: Benbouziane,H., Bouramdane,Y., Kettani,M. Ech-Chérif El
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100163
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