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math.FA2017★ 1 cited
2-local standard isometries on vector-valued Lipschitz function spaces
Antonio Jiménez-Vargas, Lei Li, Antonio M. Peralta +2
Under the right conditions on a compact metric space and on a Banach space , we give a description of the -local (standard) isometries on the Banach space $\hbox{Lip}(X,E…
math.OA2017
Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem
Qihui Li, Junhao Shen, Rui Shi +1
In the paper, we prove an analogue of the Kato-Rosenblum theorem in a semifinite von Neumann algebra. Let be a countably decomposable, properly infinite, semifinite v…
math.FA2017
Weak-2-local isometries on uniform algebras and Lipschitz algebras
Lei Li, Antonio M. Peralta, Liguang Wang +1
We establish spherical variants of the Gleason-Kahane-Zelazko and Kowalski-Słodkowski theorems, and we apply them to prove that every weak-2-local isometry between two uniform alge…