Listar MAT_Articles por autoría "a97c62cb-456b-46ad-85e5-62455306835f"
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A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces
Hindawi Publishing Corporation (2014-06-02)We introduce fuzzy norm-preserving maps, which generalize the concept of fuzzy isometry. Based on the ideas from Vogt, 1973, and V¨ais¨al¨a, 2003, we provide the following generalized version of theMazur-Ulam theorem in ... -
A version of the Stone-Weierstrass theorem in fuzzy analysis
International Scientific Research Publications (ISRP) (2017-08)Let C ( K , E 1 ) be the space of continuous functions defined between a compact Hausdorff space K and the space of fuzzy numbers E 1 endowed with the supremum metric. We provide a set of sufficient conditions ...
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Almost p-compact groups
Elsevier (2012-06)We show that if p is a selective ultrafilter, then for each cardinal α⩽ω1α⩽ω1, there exists a topological group G such that GβGβ is almost p-compact (in particular, countably compact), for β<αβ<α, but GαGα is not countably ... -
An identification theorem for the completion of the Hausdorff fuzzy metric
Elsevier (2013)We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff ...
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Approximation theorems for group valued functions.
© Elsevier (2011-02)Stone–Weierstrass-type theorems for groups of group-valued functions with a discrete range or a discrete domain are obtained. We study criteria for a subgroup of the group of continuous functions C(X,G) (X compact, G a ...
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Bilinear isometries on spaces of vector-valued continuous functions
Elsevier (2012)Let X, Y, Z be compact Hausdorff spaces and let E1, E2, E3 be Banach spaces. If T:C(X,E1)×C(Y,E2)→C(Z,E3) is a bilinear isometry which is stable on constants and E3 is strictly convex, then there exist a nonempty subset ...
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Bilinear isometries on subspaces of continuous functions
Wiley-VCH Verlag (2010-03-18)Let A and B be strongly separating linear subspaces of C0(X) and C0(Y ), respectively, and assume that ∂A ̸= ∅ (∂A stands for the set of generalized peak points for A) and ∂B ≠ ∅. Let T : A×B −→ C0(Z) be a bilinear isometry. ...
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Chaos in hyperspaces of nonautonomous discrete systems
Elsevier (2017)We study the interaction of some dynamical properties of a nonautonomous discrete dynamical system (X, f∞) and its induced nonautonomous discrete dynamical system (K(X),f∞¯), where K(X) is the hyperspace of non-empty compact ...
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Completions of paratopological groups and bounded sets
Springer Verlag (2017)In this paper we consider two questions in the realm of paratopological groups: When does multiplication on a given Tychonoff paratopological group H admit an extension to continuous multiplication on the Dieudonné ...
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Constructive approximation of level continuous fuzzy functions 1
IOS (2019-06)We consider the space of continuous functions defined between a locally compact Hausdorff space and the space of fuzzy numbers endowed with the level convergence topology. We obtain a Stone-Weierstrass type theorem for ...
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Dieudonné Completion and PT-Groups
Springer Netherlands (2012-02)We consider the classes of PT-groups, strong PT-groups, completion friendly groups, and Moscow groups introduced by Arhangel’skii for the study of the Dieudonné completion of topological groups. We show that every subgroup ...
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Dimension and entropy in compact topological groups
Elsevier (2019-03)We study the topological entropy h(f) of continuous endomorphisms f of compact-like groups. More specifically, we consider the e-spectrum E top (K) for a compact-like group K (namely, the set of all values h(f) , when f ...
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Feebly compact paratopological groups and real-valued functions
Springer-Verlag (2012)We present several examples of feebly compact Hausdorff paratopological groups (i.e., groups with continuous multiplication) which provide answers to a number of questions posed in the literature. It turns out that a ...
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Fuzzy uniform structures and continuous t-norms
Elsevier (2010)We introduce and discuss a notion of fuzzy uniform structure that provides a direct link with the classical theory of uniform spaces. More exactly, for each continuous t-norm we prove that the category of all fuzzy uniform ...
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Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces
Elsevier (2015)We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the ...
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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 ...
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Moscow spaces and selection theory
Elsevier (2008)A well-known result on Moscow spaces states that every G<sub>δ</sub>-dense subset of a Moscow space X is C-embedded in X. We present here the selection version of this result and also (by means of two different approaches) ...
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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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New and old facts about entropy in uniform spaces and topological groups
Elsevier (2012-04)In 1965 Adler, Konheim and McAndrew defined the topological entropy of a continuous self-map of a compact space. In 1971 Bowen extended this notion to uniformly continuous self-maps of (not necessarily compact) metric ...
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On balancedness and D-Completeness of the space of Semi-lipschitz functions
Springer Verlag (2008)Let (X, d) be a quasi-metric space and (Y, q) be a quasi-normed linear space. We show that the normed cone of semi-Lipschitz functions from (X, d) to (Y, q) that vanish at a point x0 E X, is balanced. Moreover, it is ...
