Results 31 to 40 of about 517 (102)
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
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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
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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
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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
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Shift invariant preduals of ℓ1(ℤ) [PDF]
, 2011 The Banach space ℓ<sub>1</sub>(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. +3 more
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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
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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
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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
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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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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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