Results 41 to 50 of about 538,556 (355)
On some problems of instability in semi-dynamical systems
The problem of instability of a closed positively invariant set M of a semi-dynamical system on an arbitrary metric space X is considered. The Lyapunov’s direct method for such problems has been developed quite completely in the case when M is compact ...
Boris S. Kalitine
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Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups
opeartor space ...
E. Kaniuth, A. Lau
semanticscholar +1 more source
Area minimizing discs in locally non-compact metric spaces [PDF]
We solve the classical problem of Plateau in every metric space which is $1$-complemented in an ultra-completion of itself. This includes all proper metric spaces as well as many locally non-compact metric spaces, in particular, all dual Banach spaces ...
Chang-Yu Guo, S. Wenger
semanticscholar +1 more source
Convolution on locally compact spaces
In this paper a convolution similar to that defined by Ionescu TulceaSimon [3] is developed by means of an extension of the underlying convolution of functions to convolution of measures. The hypotheses under which the extension obtains are relatively weak and it is to be noted that associativity is not assumed (an elementary non-associative example is
openaire +3 more sources
On uniformly locally compact spaces
In this paper we shall extend certain results on topological groups to uniform spaces. In Section 2 we generalize a result of Gleason [2]. In Section 3 we show that every uniformly locally compact space can be “approximated” by locally compact metrizable spaces.
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Proper actions and proper invariant metrics
We show that if a (locally compact) group $G$ acts properly on a locally compact $\sigma$-compact space $X$ then there is a family of $G$-invariant proper continuous finite-valued pseudometrics which induces the topology of $X$.
Abels, Herbert +2 more
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A FEW REMARKS ON LOCALLY COMPACT TOPOLOGIES AND HAAR SYSTEMS [PDF]
We start from the question raised by Williams (Proc. Am. Math. Soc. 2016): Must a second countable, locally compact, transitive groupoid G have open range map? If the answer is positive, the topology of G is in fact locally transitive (in the sense of [
Mădălina Roxana BUNECI
doaj
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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On the Regularity of Measures on Locally Compact Spaces [PDF]
The purpose of this paper is to present the two following theorems: (1) Every Baire measure on the a-algebra Xa generated by the compact Tj subsets of a paracompact, locally compact space is outer regular; (2) in a paracompact, locally compact space, any Baire measure on -L can be extended to an outer regular Borel measure on the a-algebra generated by
Mark Levin, Wilbur Stiles
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Isometry groups of proper metric spaces
Given a locally compact Polish space X, a necessary and sufficient condition for a group G of homeomorphisms of X to be the full isometry group of (X,d) for some proper metric d on X is given.
Niemiec, Piotr
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