Results 51 to 60 of about 38,134 (191)
Internal functionals and bundle duals
International Journal of Mathematics and Mathematical Sciences, 1984 If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be constructed whose stalks are the duals of the stalks of the given bundle and whose sections can be identified with the functionals studied by Seda in [1] and [2]
Joseph W. Kitchen, David A. Robbins
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Continuity of LF-algebra representations associated to representations of Lie groups
, 2012 Let G be a Lie group and E be a locally convex topological G-module. If E is sequentially complete, then E and its space of smooth vectors are modules for the algebra D(G) of compactly supported smooth functions on G. However, the module multiplication
Glockner, Helge
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Bornological Locally Convex Cones
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
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Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]
, 2000 In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Troitsky, Vladimir G.
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A formula to calculate the spectral radius of a compact linear operator
International Journal of Mathematics and Mathematical Sciences, 1997 There is a formula (Gelfand's formula) to find the spectral radius of a linear operator defined on a Banach space. That formula does not apply even in normed spaces which are not complete.
Fernando Garibay Bonales +1 more
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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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Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations [PDF]
Opuscula Mathematica, 2008 The aim of this note is to describe the continuation theorem of [J. Mawhin, Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, J.
Jean Mawhin
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Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems.
Sehie Park
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Examples of differentiable mappings into non-locally convex spaces
, 2003 Examples of differentiable mappings into real or complex topological vector spaces with specific properties are given, which illustrate the differences between differential calculus in the locally convex and the non-locally convex case.
Glockner, Helge
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