Results 51 to 60 of about 49,072 (124)

Characterizations of vector‐valued weakly almost periodic functions

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 295-304, 2003., 2003
We characterize the weak almost periodicity of a vector‐valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left orbit. At the same time, we give the function some other equivalent properties.
Chuanyi Zhang
wiley   +1 more source

Fixed point theorems for a semigroup of total asymptotically nonexpansive mappings in uniformly convex Banach spaces [PDF]

Opuscula Mathematica, 2014
In this paper, we provide existence and convergence theorems of common fixed points for left (or right) reversible semitopological semigroups of total asymptotically nonexpansive mappings in uniformly convex Banach spaces.
Suthep Suantai, Withun Phuengrattana
doaj   +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

Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 6, Page 355-359, 2002., 2002
We study compact and weakly compact multipliers on L(S), L(S)**, and LUC(S)*, where the latter is the dual of LUC(S). We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. We also prove that S is left amenable if and only if there is a nonzero compact (or weakly
Alireza Medghalchi
wiley   +1 more source

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

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

On images of complete topologized subsemilattices in sequential semitopological semilattices [PDF]

Semigroup Forum, 2018
A topologized semilattice X is called complete if each non-empty chain C⊂X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
T. Banakh, S. Bardyla
semanticscholar   +1 more source

The Lawson number of a semitopological semilattice [PDF]

Semigroup Forum, 2019
For a Hausdorff topologized semilattice X its Lawson numberΛ¯(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
T. Banakh, S. Bardyla, O. Gutik
semanticscholar   +1 more source

Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space

Abstract and Applied Analysis, Volume 5, Issue 3, Page 147-158, 2000., 2000
We introduce the notion of asymptotically almost nonexpansive curves which include almost‐orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves.
Gang Li, Jong Kyu Kim
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