Results 11 to 20 of about 4,630 (199)

On Locally Convex Topological Vector Space Valued Paranormed Function Space Defined by Orlicz Function

open access: goldNepal Journal of Science and Technology, 2014
The aim of this paper is to introduce and study a new class (l∞ (X, Y, Φ, ξ, w , L), HU) of locally convex space Y- valued functions using Orlicz function Φ as a generalization of some of the well known sequence spaces and function spaces. Besides the investigation pertaining to the linear topological structures of the class (l∞ (X, Y, Φ, ξ, w , L), HU)
NP Pahari
semanticscholar   +5 more sources

Infinitely divisible characteristic functionals on locally convex topological vector spaces [PDF]

open access: bronzePacific Journal of Mathematics, 1970
S. Johansen has given a characterization of infinitely divisible characteristic functions on the real line analogous to the Bochner's theorem characterizing the characteristic functions through their nonnegative definite ness. Recently the present author
Б. Л. С. Пракаса Рао
semanticscholar   +5 more sources

Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on ${\cal H} (U) $ [PDF]

open access: bronzeAnnales de l’institut Fourier, 1973
In this article we study topological vector space structures on 9e(U), the set of all holomorphic functions on U where U is an open subset of the locally convex topological vector space E. We apply our results, in a further paper, to characterise certain
Seán Dineen
semanticscholar   +5 more sources

Non-Linear Inner Structure of Topological Vector Spaces

open access: yesMathematics, 2021
Inner structure appeared in the literature of topological vector spaces as a tool to characterize the extremal structure of convex sets. For instance, in recent years, inner structure has been used to provide a solution to The Faceless Problem and to ...
Francisco Javier García-Pacheco   +3 more
doaj   +2 more sources

Asymptotic Almost Periodic Functions with Range in a Topological Vector Space

open access: yesJournal of Function Spaces and Applications, 2013
The notion of asymptotic almost periodicity was …first introduced by Fréchet in 1941 in the case of …finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several ...
Liaqat Ali Khan, Saud M. Alsulami
doaj   +2 more sources

Fuzzy barrels on locally convex fuzzy topological vector spaces [PDF]

open access: goldMiskolc Mathematical Notes, 2020
Bayaz Daraby, N. Khosravi, Asghar Rahimi
openalex   +3 more sources

Remarks on quasi-variational inequalities and fixed points in locally convex topological vector spaces

open access: bronzeApplied Mathematics Letters, 1997
AbstractIn this note, we first prove existence theorems for noncompact generalized quasivariational inequalities. As applications, two fixed point theorems for upper or lower semicontinuous multivalued mappings without compact domains are given in locally Hausdorff topological vector spaces.
George Xianzhi Yuan
openalex   +4 more sources

On Bishop–Phelps and Krein–Milman Properties

open access: yesMathematics, 2023
A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
doaj   +1 more source

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