Results 21 to 30 of about 4,630 (199)

On the regularity of one parameter transformation groups in barreled locally convex topological vector spaces

, 2015
In a barreled locally convex topological vector space E the pointwise convergence of a family (Tθ)θ∈R of operators at a point θ0 ∈ R implies the uniform convergence on compact subsets of E at θ0.
Maximilian Bock
openalex   +3 more sources

The fixed point property of quasi-point-separable topological vector spaces [PDF]

Journal of Applied and Numerical Optimization, 2022
In this paper, we introduce the concept of quasi-point-separable topological vector spaces, which has the following important properties: 1. In general, the conditions for a topological vector space to be quasi-pointseparable is not very difficult to ...
Jinlu Li
semanticscholar   +1 more source

A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces

Journal of New Theory, 2023
This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
doaj   +1 more source

Compressible Topological Vector Spaces [PDF]

arXiv.org, 2022
The optimum subspace decomposition of the infinite-dimensional compressible random processes in the locally convex Hausdorff space has been propose and its dimension has been measured.
Mohammadreza Robaei, R. Akl
semanticscholar   +1 more source

The Levi problem in non-locally convex seperable topological vector spaces.

MATHEMATICA SCANDINAVICA, 1990
Aboubakr Bayoumi
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Multipliers of Variationally Mcshane Integrable Functions in Locally Convex Space

Tatra Mountains Mathematical Publications, 2023
We study measurable real valued multipliers of variationally McShane (resp. McShane) integrable functions defined on a σ-finite outer regular quasi-Radon measure space and taking values in a complete locally convex topological vector space X.
S. Bhatnagar
semanticscholar   +1 more source

Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces

Axioms, 2022
We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
doaj   +1 more source

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 , Abhoy Pada Baisnab, Mantu Saha   +2 more
doaj  

Study of Duality of Locally Convex Space

International Journal of Scientific Research in Science and Technology, 2022
In this paper, we studied about the duality of locally convex space. The key to most of the results in topological vector space theory is to exploit duality - the relationship between on l.c.s. X and its dual X^*.
Amaresh Kumar, Dr. Md. Mushtaque Khan
semanticscholar   +1 more source

Generalized contraction mapping principle in locally convex topological vector spaces

Journal of Nonlinear Sciences and Applications, 2016
Yanxia Tang, Jinyu Guan, Pengcheng Ma, Yongchun Xu, Yongfu Su   +4 more
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