Results 11 to 20 of about 33,771 (188)
Weak topologies for Linear Logic [PDF]
Logical Methods in Computer Science, 2016 We construct a denotational model of linear logic, whose objects are all the locally convex and separated topological vector spaces endowed with their weak topology.
Marie Kerjean
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International 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
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“Varopoulos paradigm”: Mackey property versus metrizability in topological groups. [PDF]
, 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
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Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
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
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
, 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
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Optimality Conditions and Duality for DC Programming in Locally Convex Spaces
Journal of Inequalities and Applications, 2009 Consider the DC programming problem (PA) infx∈X{f(x)−g(Ax)}, where f and g are proper convex functions defined on locally convex Hausdorff topological vector spaces X and Y, respectively, and A is a linear operator from X to Y.
Xianyun Wang
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Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Carathéodory–Fejér interpolation in locally convex topological vector spaces
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel +2 more
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Nonsmooth analysis and optimization on partially ordered vector spaces
International 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
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Generalized quasi-variational inequalities in locally convex topological vector spaces
Journal 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
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