Listar por autoría "8008084b-6cf5-43fc-992a-39c4b5f08777"
Mostrando ítems 1-13 de 13
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Diameter preserving mappings between function algebras
Mathematical Society of the Republic of China (2011)In this paper we study the behaviour of linear diameter preserving mappings when defined between subalgebras of continuous functions. Namely, we obtain a representation of such mappings as the sum of a weighted composition ... -
Diameter preserving maps on function spaces
Springer (2016-08-16)In this paper we describe, under certain assumptions, surjective diameter preserving mappings when defined between function spaces, not necessarily algebras, thus extending most of the previous results for these operators. ...
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Disjointness preserving maps between vector-valued group algebras
(2018-06)Let G be a locally compact abelian group and B be a commutative Banach algebra. Let L1(G,B) be the Banach algebra of B-valued Bochner integrable functions on G. In this paper we provide a complete description of continuous ...
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Isometries on spaces of absolutely continuous functions in a noncompact framework
Elsevier (2020-02-19)In this paper we deal with surjective linear isometries between spaces of scalar-valued absolutely continuous functions on arbitrary (not necessarily closed or bounded) subsets of the real line (with at least two points). ...
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Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces
Springer Verlag (2019-11-11)In this paper, we deal with the convergence of sequences of positive linear maps to a (not assumed to be linear) isometry on spaces of continuous functions. We obtain generalizations of known Korovkin-type results and ...
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Linear and Multilinear Isometries in a Noncompact Framework
Springer (2021-03-19)Both classical linear and multilinear isometries defined between subalgebras of bounded continuous functions on (complete) metric spaces are studied. Particularly, we prove that certain such subalgebras, including the ...
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Local and 2-local isometries between absolutely continuous function spaces
Element d.o.o. (2021-12-01)In this paper we give a complete description of local and 2-local isometries defined between spaces of scalar-valued absolutely continuous functions on arbitrary (not necessarily compact) subsets of the real line with at ... -
Multi-linear isometries on spaces of vector-valued continuous functions
Taylor & Francis (2017)In this paper we study multilinear isometries defined on certain subspaces of vector-valued continuous functions. We provide conditions under which such maps can be properly represented. Our results contain all known results ...
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Multilinear isometries on function algebras
Taylor & Francis (2015)Let be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces , respectively, and let Z be a locally compact Hausdorff space. A -linear map is called ...
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Nonlinear diameter preserving maps on function spaces
Taylor & Francis (2020-01-01)In this paper we study nonlinear diameter preserving mappings defined between function spaces and obtain generalizations of, basically, all known results concerning diameter preservers. In particular, we give a complete ...
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Norm-additive in modulus maps between function algebras
Duke University Press (2014)The main purpose of this paper is to characterize norm-additive in modulus, not necessarily linear, maps defined between function algebras (not necessarily unital or uniformly closed). In fact, for function algebras A and ...
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Real-Linear Isometries and Jointly Norm-Additive Maps on Function Algebras
Springer (2015)In this paper, we describe into real-linear isometries defined between (not necessarily unital) function algebras and show, based on an example, that this type of isometries behaves differently from surjective real-linear ...
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Real-Multilinear Isometries on Function Algebras
Springer International Publishing (2017)Let A 1 ,...,A k be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Haus- dorff spaces X 1 ,...,X k , respectively, and let Y be a locally ...
