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SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
(Universidad Católica del Norte, Departamento de Matemáticas, 2006)
COUNTABLE S*-COMPACTNESS IN L-SPACES
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
SEQUENTIAL S*-COMPACTNESS IN L-TOPOLOGICAL SPACES*
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
A NEW FORM OF FUZZY ß-COMPACTNESS
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
Weak compactness of sublevel sets in complete locally convex spaces
(Heldermann Verlag, 2019)
© 2019 Heldermann Verlag. All rights reserved.In this work we prove that if X is a complete locally convex space and {equation presented} is a function such that f -x∗attains its minimum for every x∗∈ U, where U is an open ...
On p-compact mappings and the p-approximation property
(Academic Press Inc Elsevier Science, 2012-05)
The notion of p-compact sets arises naturally from Grothendieck´s characterization of compact sets as those contained in the convex hull of a norm null sequence. The definition, due to Sinha and Karn (2002), leads to the ...
Polynomials and holomorphic functions on A-compact sets in Banach spaces
(Academic Press Inc Elsevier Science, 2018-07)
In this paper we study the behavior of holomorphic mappings on A-compact sets. Motivated by the recent work of Aron, Çalişkan, García and Maestre (2016), we give several conditions (on the holomorphic mappings and on the ...
Various Lipschitz-like properties for functions and sets I: Directional derivative and tangential characterizations
(SIAM Publicationss, 2020)
In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. For different types of sets K (e.g., zero, ...
Lipschitz p-compact mappings
(Springer Wien, 2019-08)
We introduce the notion of Lipschitz p-compact operators. We show that they can be seen as a natural extension of the linear p-compact operators of Sinha and Karn and we transfer some properties of the linear case into the ...
On the approximation of compact fuzzy sets
(Pergamon-elsevier Science LtdOxfordInglaterra, 2011)