Results 41 to 50 of about 43,621 (220)

A remark on Ekeland's principle in locally convex topological vector spaces

open access: yesMathematical and Computer Modelling, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAMMAROTO, Filippo   +2 more
openaire   +3 more sources

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

open access: yes, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir   +2 more
core   +3 more sources

Nonsmooth analysis and optimization on partially ordered vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj   +1 more source

A characterization of singular endomorphisms of a barrelled Pták space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled ...
Damir Franekić
doaj   +1 more source

Free Subspaces of Free Locally Convex Spaces

open access: yesJournal 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   +1 more source

Webbed spaces, double sequences, and the Macke convergence condition

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are
Armando García-Martínez
doaj   +1 more source

Regularity in Topological Modules

open access: yesMathematics, 2020
The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
doaj   +1 more source

Optimal approximate fixed point results in locally convex spaces

open access: yes, 2012
Let $C$ be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps $f\colon C\to\bar{C}$. First we prove that if $f(C)$ is totally bounded, then it has an approximate fixed point net.
Arino   +19 more
core   +1 more source

Locally convex approach spaces

open access: yesApplied General Topology, 2003
We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6].
M. Sioen, S. Verwulgen
doaj   +1 more source

On a Certain Generalized Functional Equation for Set-Valued Functions

open access: yesMathematics, 2020
The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc(Y ...
Yaroslav Bazaykin   +3 more
doaj   +1 more source

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