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On Characterization of δ-Topological Vector Space [PDF]

open access: yesRatio Mathematica, 2021
The main objective of this paper is to present the study of δ-topological vector space, δ-topological vector space are defined by using δ-open sets and δ-continuous mapping which was introduced by J.H.H. Bayati[3] in 2019. In this paper, along with basic
Shallu Sharma   +2 more
doaj   +3 more sources

Hyperspaces of Topological Vector Spaces: Their Embedding in Topological Vector Spaces [PDF]

open access: greenProceedings of the American Mathematical Society, 1976
Let L L be a real (Hausdorff) topological vector space. The space K [ L ] \mathcal {K}[L] of nonempty compact subsets of L L forms a (Hausdorff) topological semivector space with singleton origin when K [ L
Prem Prakash, Murat R. Sertel
openalex   +6 more sources

Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space [PDF]

open access: yesJournal of Mathematical and Fundamental Sciences, 2015
This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
doaj   +4 more sources

Embedding in topological vector spaces [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1977
Let LX denote the set of all continuous linear functionals on the locally convex topological vector space X. The space L co X {L_{{\text {co}}}}X denotes LX endowed with the compact-open topology.
G. D. Richardson
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Relation between chiral central charge and ground-state degeneracy in (2+1)-dimensional topological orders

open access: yesPhysical Review Research, 2020
A bosonic topological order on d-dimensional closed space Σ^{d} may have degenerate ground states. The space Σ^{d} with different shapes (different metrics) form a moduli space M_{Σ^{d}}.
Liang Kong, Xiao-Gang Wen
doaj   +2 more sources

Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]

open access: green, 2000
In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Vladimir G. Troitsky
openalex   +4 more sources

α-Topological Vector Spaces

open access: yesScience Journal of University of Zakho, 2017
The main objective of this paper is to present the study of α-topological vector spaces. α-topological vector spaces are defined by using α-open sets and α-irresolute mappings.
Hariwan Z. Ibrahim
doaj   +3 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

On realcompact topological vector spaces [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2011
[EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, including Frechet spaces, (L F)-spaces, and their duals, (D F)-spaces and spaces of continuous real-valued functions C(X) on a completely
Kakol, Jerzy Marian   +1 more
openaire   +3 more sources

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