Results 51 to 60 of about 41,132 (167)
Homotopy groups of ascending unions of infinite-dimensional manifolds [PDF]
, 2010 Let M be a topological manifold modelled on topological vector spaces, which is the union of an ascending sequence of such manifolds M_n. We formulate a mild condition ensuring that the k-th homotopy group of M is the direct limit of the k-th homotopy ...
Glockner, Helge
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Generalizations of Rolle’s Theorem
MathematicsThe classical Rolle’s theorem establishes the existence of (at least) one zero of the derivative of a continuous one-variable function on a compact interval in the real line, which attains the same value at the extremes, and it is differentiable in the ...
Alberto Fiorenza, Renato Fiorenza
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Characterizations of minimal elements of upper support with applications in minimizing DC functions
Open MathematicsIn this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh +2 more
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MathematicsThis paper investigates the structural properties of solutions of vector equilibrium systems and mixed variational inequalities in topological vector spaces.
Wei Cheng, Weiqiang Gong
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$\mathfrak G$-bases in free (locally convex) topological vector spaces
, 2016 We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local $\mathfrak G$-base. A topological space $X$ has a local $\mathfrak G$-base if every point $x$ of $X$ has a neighborhood base $(U_ )_{ \in ^ }$ such that $U_ \subset U_ $ for all $ \le $ in $ ^ $. To construct $\mathfrak G$-bases
Banakh, Taras, Leiderman, Arkady
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The Levi problem in non-locally convex seperable topological vector spaces.
MATHEMATICA SCANDINAVICA, 1990 The author continues his study of pseudoconvexity in a nonlocally convex space setting. Following, \textit{L. Waelbroeck} [Topological vector spaces and algebras, Lect. Notes Math. 230 (1971; Zbl 0225.46001)], let \(E\) be an \(Lps\), i.e. a locally pseudoconvex topological vector space.
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Production Equilibria in Vector Lattices [PDF]
The general purpose of this paper is to prove quasiequilibrium existence theorems for production economies with general consumption sets in an infinite dimensional commodity space, without assuming any monotonicity of preferences or free-disposal in ...
Monique Florenzano, Valeri Marakulin
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An ergodic measure on a locally convex topological vector space
Journal of Functional Analysis, 1981 AbstractThe aim of this paper is to give a way to construct a probability measure with nice ergodic properties on a locally convex topological vector space. We have two motivations; one is to give a generalization of a Gaussian measure and the other is to give an example of a probability measure with a rich kernel space.
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The strongest vector space topology is locally convex on separable linear subspaces [PDF]
Annales Polonici Mathematici, 1997 cor a real or complex vector space \(X\), let \(\tau_{\max}\), \(\tau^p_{\max ...
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A remark on generalized variational inequalities in locally convex topological vector spaces
Applied Mathematics Letters, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tarafdar, E., Yuan, X. Z.
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