Results 11 to 20 of about 41,135 (186)

Barrelled Weakly Köthe–Orlicz Summable Sequence Spaces

open access: yesMathematics, 2023
Let E be a Hausdorff locally convex space. We investigate the space Λφ[E] of weakly Köthe–Orlicz summable sequences in E with respect to an Orlicz function φ and a perfect sequence space Λ.
Issam Aboutaib   +2 more
doaj   +1 more source

“Varopoulos paradigm”: Mackey property versus metrizability in topological groups. [PDF]

open access: yes, 2006
The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is natural to extend classical properties of locally convex spaces to this larger class of abelian ...
Außenhofer, L.   +3 more
core   +2 more sources

Mazur spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the ...
Albert Wilansky
doaj   +1 more source

Weak upper topologies and duality for cones [PDF]

open access: yesLogical Methods in Computer Science, 2015
In functional analysis it is well known that every linear functional defined on the dual of a locally convex vector space which is continuous for the weak topology is the evaluation at a uniquely determined point of the given vector space. M.
Klaus Keimel
doaj   +1 more source

Multiplication operators on weighted spaces in the non-locally convex framework

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let X be a completely regular Hausdorff space, E a topological vector space, V a Nachbin family of weights on X, and CV0(X,E) the weighted space of continuous E-valued functions on X. Let θ:X→C be a mapping, f∈CV0(X,E) and define Mθ(f)=θf (pointwise). In
L. A. Khan, A. B. Thaheem
doaj   +1 more source

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

open access: yes, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael   +1 more
core   +4 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

Carathéodory–Fejér interpolation in locally convex topological vector spaces

open access: yesLinear Algebra and its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel   +2 more
openaire   +2 more sources

Asymptotic Almost Periodic Functions with Range in a Topological Vector Space

open access: yesJournal 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   +1 more source

Generalized quasi-variational inequalities in locally convex topological vector spaces

open access: yesJournal of Mathematical Analysis and Applications, 1985
Let E be a Hausdorff topological vector space and X an arbitrary nonempty subset of E. Given a point-to-set map S: \(X\to 2^ X\) and a point-to-set map T: \(X\to 2^{E'}\) (where E' is the dual space of E with the pairing (w,x) for \(w\in E'\) and \(x\in X)\), the generalized quasivariational inequality problem (GQVI) is to find a point \(y^*\in S(y^*)\)
Shih, Mau-Hsiang, Tan, Kok-Keong
openaire   +1 more source

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