Results 41 to 50 of about 538,556 (355)

On some problems of instability in semi-dynamical systems

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
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
doaj   +1 more source

Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups

open access: yesMathematical Surveys and Monographs, 2018
opeartor space ...
E. Kaniuth, A. Lau
semanticscholar   +1 more source

Area minimizing discs in locally non-compact metric spaces [PDF]

open access: yesCommunications in analysis and geometry, 2017
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

open access: yesJournal of Mathematical Analysis and Applications, 1973
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

open access: yesJournal of Mathematical Analysis and Applications, 1970
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.
openaire   +2 more sources

Proper actions and proper invariant metrics

open access: yes, 2008
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
core   +2 more sources

A FEW REMARKS ON LOCALLY COMPACT TOPOLOGIES AND HAAR SYSTEMS [PDF]

open access: yesFiabilitate şi Durabilitate, 2018
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  

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

On the Regularity of Measures on Locally Compact Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
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
openaire   +3 more sources

Isometry groups of proper metric spaces

open access: yes, 2012
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
core   +1 more source

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