Results 21 to 30 of about 590 (104)

On Semitopological Bicyclic Extensions of Linearly Ordered Groups [PDF]

Journal of Mathematical Sciences, 2019
For a linearly ordered group $G$ let us define a subset $A\subseteq G$ to be a \emph{shift-set} if for any $x,y,z\in A$ with $y < x$ we get $x\cdot y^{-1}\cdot z\in A$. We describe the natural partial order and solutions of equations on the semigroup $\mathscr{B}(A)$ of shifts of positive cones of $A$.
Gutik, Oleg, Maksymyk, Kateryna
openaire   +2 more sources

Some algebraic universal semigroup compactifications

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 6, Page 353-357, 2001., 2001
Universal compactifications of semitopological semigroups with respect to the properties satisfying the varieties of semigroups and groups are studied through two function algebras.
H. R. Ebrahimi-Vishki
wiley   +1 more source

Topological monoids of almost monotone injective co-finite partial selfmaps of the set of positive integers

Karpatsʹkì Matematičnì Publìkacìï, 2013
In this paper we study the semigroup $\mathcal{I}_{\,\infty}^{?\nearrow}(\mathbb{N})$ of partial co-finite almost monotone bijective transformations of the set of positive integers $\mathbb{N}$.
I. Ya. Chuchman, O. V. Gutik
doaj   +1 more source

Baire property in product spaces

Applied General Topology, 2015
We show that if a product space $\mathit\Pi$ has countable cellularity, then a dense subspace $X$ of $\mathit\Pi$ is Baire provided that all projections of $X$ to countable subproducts of $\mathit\Pi$ are Baire.
Constancio Hernández, Leonardo Rodríguez Medina, Mikhail G. Tkachenko   +2 more
doaj   +1 more source

Shift invariant preduals of ℓ₁(ℤ) [PDF]

, 2011
The Banach space ℓ₁(ℤ) admits many non-isomorphic preduals, for example, C(K) for any compact countable space K, along with many more exotic Banach spaces.
Daws, M., Haydon, R., Schlumprecht, T., White, S.   +3 more
core   +2 more sources

The universal semilattice compactification of a semigroup

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 85-89, 1999., 1999
The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras. Some relationships among these function algebras and some well‐known ones, from the universal compactification point of view, are also discussed.
H. R. Ebrahimi Vishki, M. A. Pourabdollah   +1 more
wiley   +1 more source

A characterization of point semiuniformities

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 311-316, 1996., 1996
The concept of a uniformity was developed by A. Well and there have been several generalizations. This paper defines a point semiuniformity and gives necessary and sufficient conditions for a topological space to be point semiuniformizable. In addition, just as uniformities are associated with topological groups, a point semiuniformity is naturally ...
Jennifer P. Montgomery
wiley   +1 more source

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
wiley   +1 more source

On the closure of the extended bicyclic semigroup

Karpatsʹkì Matematičnì Publìkacìï, 2013
In the paper we study the semigroup $\mathcal{C}_{\mathbb{Z}}$ which is a generalization of the bicyclic semigroup. We describe main algebraic properties of the semigroup $\mathcal{C}_{\mathbb{Z}}$ and prove that every non-trivial congruence $\mathbb{C}$
I. R. Fihel, O. V. Gutik
doaj   +1 more source

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
wiley   +1 more source