Listar MAT_Articles por autoría "e027bd92-584f-4c96-a062-3db685be0da4"
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Mazur-Ulam type theorems for fuzzy normed spaces
International Scientific Research Publications (ISRP) (2017-08)In this paper, we provide Mazur-Ulam type results for (not necessarily surjective) maps preserving equality of fuzzy distance defined between two fuzzy normed spaces. Our main goal is to study the additivity of such ... -
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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On the stability index for weighted composition operators
Elsevier (2010)Let ϵ>0. A continuous linear operator T:C(X)⟶C(Y) is said to ϵ-preserve disjointness if ‖(Tf)(Tg)‖∞≤ϵ, whenever f,g∈C(X) satisfy ‖f‖∞=‖g‖∞=1 and fg≡0. In this paper we continue our study of the minimal interval where the ... -
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 ...
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Sequentially compact subsets and monotone functions: An application to fuzzy theory
Elsevier (2015-09)Let (X,<,τO) be a first countable compact linearly ordered topological space. If (Y,D) is a uniform sequentially compact linearly ordered space with weight less than the splitting number s, then we characterize the ...
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Stability of weighted composition operators between spaces of continuous functions
London Mathematical Society (2009)Let ϵ>0. A continuous linear operator T:C(X)→C(Y) is said to be ϵ-disjointness preserving if ‖ (Tf)(Tg)‖∞≤ϵ whenever f, g∈C(X) satisfy ‖ f‖∞=‖ g‖∞=1 and fg≡ 0. In this paper we basically address the following question: How ...
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Stability of weighted point evaluation functionals
American Mathematical Society (2010-05-12)Given ε > 0, a continuous linear functional φ on C(X) is said to be ε-disjointness preserving if |φ(f)φ(g)| ≤ ε whenever f,g ∈ C(X) satisfy ∥f∥∞ = ∥g∥∞ = 1 and fg ≡ 0. In this paper we provide the exact maximal distance ...
