Results 41 to 50 of about 14,246,372 (112)
Vector‐valued means and weakly almost periodic functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 227-237, 1994., 1992 A formula is set up between vector‐valued mean and scalar‐valued means that enables us translate many important results about scalar‐valued means developed in [1] to vector‐valued means. As applications of the theory of vector‐valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector‐valued weakly almost
Chuanyi Zhang
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On distal and equicontinuous compact right topological groups
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 379-388, 1994., 1994 W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
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Banach representations and affine compactifications of dynamical systems
, 2013 To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e.
Glasner, Eli, Megrelishvili, Michael
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Semigroup compactifications by generalized distal functions and a fixed point theorem
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 253-260, 1991., 1991 The notion of “Semigroup compactification” which is in a sense, a generalization of the classical Bohr (almost periodic) compactification of the usual additive reals R, has been studied by J. F. Berglund et. al. [2]. Their approach to the theory of semigroup compactification is based on the Gelfand‐Naimark theory of commutative C* algebras, where the ...
R. D. Pandian
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Mathematica Moravica, 2014 In this paper we study the class of s-topological groups and a wider class of S-topological groups which are defined by using semi-open sets and semi-continuity introduced by N. Levine.
Bosan Muhammad Siddique +2 more
doaj
On locally compact semitopological $0$-bisimple inverse $\omega$-semigroups
, 2018 We describe the structure of Hausdorff locally compact semitopological $0$-bisimple inverse $\omega$-semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological $0$-bisimple inverse $\omega ...
Gutik, Oleg
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A note on quasi R*‐invariant measures on semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 727-730, 1990., 1990 A characterization of quasi r*‐invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*‐invariant measures and the topo‐algebraic structure of their support.
N. A. Tserpes
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Subgroups of products of strongly metrizable semitopological groups
Topology and its Applications, 2019 We show that a regular (paratopological) semitopological group G admits a homeomorphic embedding as a subgroup into a product of strongly metrizable (paratopological) semitopological groups if and only if G is strictly ω-balanced with a countable index ...
L. Xie, Ying-Ying Jin
semanticscholar +1 more source
An amenability property of algebras of functions on semidirect products of semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 2, Page 297-305, 1983., 1982 Let S1 and S2 be semitopological semigroups, S1 τ S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ S2 into a semidirect product.
Bao-Ting Lerner
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Continuity in right semitopological groups
, 2022 arXiv admin note: text overlap with arXiv:2203 ...
openaire +2 more sources