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Denjoy-type Integrals in Locally Convex Topological Vector Space
European Journal of Pure and Applied Mathematics, 2021 In this paper, we introduce AC* and ACG*-type properties and then, using theseconditions along with other concepts, define two Denjoy-type integrals of a function with values in a locally convex topological vector space (LCTVS).
Rodolfo Maza, Sergio Rosales Canoy
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Non-Linear Inner Structure of Topological Vector Spaces
Mathematics, 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
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Fixed point theorems for some generalized contractive mappings over a locally convex topological vector space [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting ...
Sayantan Panja +2 more
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, 2014 The aim of this paper is to introduce and study a new class (l ∞ (X , Y , Φ, ξ, w , L ), H U ) 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.
NP Pahari
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Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
Journal 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
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On embedding a compact convex set into a locally convex topological vector space [PDF]
, 1976 Robert E. Jamison +2 more
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Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on
, 1973 Seán Dineen
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Infinitely divisible characteristic functionals on locally convex topological vector spaces [PDF]
, 1970 Б. Л. С. Пракаса Рао
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On Bishop–Phelps and Krein–Milman Properties
Mathematics, 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
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