Results 11 to 20 of about 5,568 (215)

Asymptotic Almost Periodic Functions with Range in a Topological Vector Space [PDF]

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
doaj   +2 more sources

Free Subspaces of Free Locally Convex Spaces [PDF]

Journal of Function Spaces, 2018
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
doaj   +3 more sources

Bornological Locally Convex Cones [PDF]

Le Matematiche, 2014
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept 
Davood Ayaseh, Asghar Ranjbari
doaj   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

Abstract capacitary estimates and the completeness and separability of certain classes of non-locally convex topological vector spaces [PDF]

, 2012
We are concerned with establishing completeness and separability criteria for large classes of topological vector spaces which are typically non-locally convex, including Lebesgue-like spaces, Lorentz spaces, Orlicz spaces, mixed-normed spaces, tent ...
D. Mitrea, I. Mitrea, M. Mitrea, Elia Ziadé   +3 more
semanticscholar   +2 more sources

Pseudo-convex completion of locally convex topological vector spaces

Mathematische Annalen, 1974
exaly   +3 more sources

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

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, Soledad Moreno-Pulido, Enrique Naranjo-Guerra, Alberto Sánchez-Alzola   +3 more
doaj   +1 more source

A note on the commutator of two operators on a locally convex space [PDF]

, 2016
summary:Denote by $C$ the commutator $AB-BA$ of two bounded operators $A$ and $B$ acting on a locally convex topological vector space. If $AC-CA=0$, we show that $C$ is a quasinilpotent operator and we prove that if $AC-CA$ is a compact operator, then $C$
E. Kramar
semanticscholar   +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