Compact homomorphisms between algebras of C(K)-valued Lipschitz functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.07.010
Abstract: We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of those homomorphisms. read more here.
Keywords: valued lipschitz; homomorphisms algebras; algebras valued; lipschitz functions ... See more keywords
Topological reflexivity of isometries on algebras of C(Y)-valued Lipschitz maps
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125550
Abstract: Abstract Let X be a compact metric space and let C ( Y ) be the space of all complex-valued continuous functions on a Hausdorff compact space Y. We prove that the isometry group of… read more here.
Keywords: isometries algebras; topologically reflexive; valued lipschitz; reflexivity isometries ... See more keywords
On Topological Properties of the Set of Solutions of Operator Inclusions with a Multi-Valued Lipschitz Right-Hand Side
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DOI: 10.3103/s1066369x21050029
Abstract: This paper is devoted to the study of the topological dimension of the set of solutions of the operator inclusion of the form $A(x)\in\lambda F(x)$ , where A is a bounded linear surjective operator, and… read more here.
Keywords: multi valued; topological properties; solutions operator; set solutions ... See more keywords