Results 11 to 20 of about 54 (49)
On some approximation theorems for power q-bounded operators on locally convex vector spaces. [PDF]
ScientificWorldJournal, 2014 This paper deals with the study of some operator inequalities involving the power q‐bounded operators along with the most known properties and results, in the more general framework of locally convex vector spaces.
Lemle LD.
europepmc +2 more sources
Primal Topologies on Finite‐Dimensional Vector Spaces Induced by Matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 Given an matrix A, considered as a linear map A : ℝn⟶ℝn, then A induces a topological space structure on ℝn which differs quite a lot from the usual one (induced by the Euclidean metric). This new topological structure on ℝn has very interesting properties with a nice special geometric flavor, and it is a particular case of the so called “primal space,”
Luis Mejías +4 more
wiley +1 more source
On Some Properties of Whyburn Spaces
, 2022 Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022.
Abdelwaheb Mhemdi +3 more
wiley +1 more source
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We give necessary and sufficient conditions for exchange of limits of double‐indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect to filter convergence.
Antonio Boccuto +2 more
wiley +1 more source
Isomorphisms on Weighed Banach Spaces of Harmonic and Holomorphic Functions
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 For an arbitrary open subset U⊂ℝd or U⊆ℂd and a continuous function v : U→]0, ∞[ we show that the space hv0(U) of weighed harmonic functions is almost isometric to a (closed) subspace of c0, thus extending a theorem due to Bonet and Wolf for spaces of holomorphic functions Hv0(U) on open sets U⊂ℂd.
Enrique Jordá +2 more
wiley +1 more source
Weighted Vector‐Valued Holomorphic Functions on Banach Spaces
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We study the weighted Banach spaces of vector‐valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of an open and connected subset U of a Banach space X, with values in another Banach space E, and ...
Enrique Jordá, Anna Mercaldo
wiley +1 more source
Topologizing Homeomorphism Groups
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 This paper surveys topologies, called admissible group topologies, of the full group of self‐homeomorphisms ℋ(X) of a Tychonoff space X, which yield continuity of both the group operations and at the same time provide continuity of the evaluation function or, in other words, make the evaluation function a group action of ℋ(X) on X.
A. Di Concilio, Manuel Sanchis
wiley +1 more source
Line antiderivations over local fields and their applications
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 2, Page 263-309, 2005., 2005 A non‐Archimedean antiderivational line analog of the Cauchy‐type line integration is defined and investigated over local fields. Classes of non‐Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurent series representations are described.
S. V. Ludkovsky
wiley +1 more source
Spectral integration and spectral theory for non‐Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 7, Page 421-442, 2002., 2002 Banach algebras over arbitrary complete non‐Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non‐Archimedean fields. We have determined the spectrum of some closed commutative subalgebras of the Banach algebra ℒ(E) of the continuous linear operators on a free Banach space E ...
S. Ludkovsky, B. Diarra
wiley +1 more source
Some topologies on the set of lattice regular measures
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 681-695, 1992., 1990 We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additive) measures on 𝒜(ℒ).
Panagiotis D. Stratigos
wiley +1 more source