Results 21 to 30 of about 175 (103)
Additional notes on continuity in semitopological semigroups
Jimmie D Lawson, Lawson Jimmie D
exaly +2 more sources
L∞-representations of commutative semitopological semigroups
Charles F Dunkl +2 more
exaly +2 more sources
Almost periodic functions on semitopological semigroups
Paul Milnes
exaly +4 more sources
Problems about semitopological semigroups
John F Berglund
exaly +3 more sources
On the transformation semitopological semigroup [PDF]
In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of some well known function spaces on a weighted transformation semigroup is also investigated.
Abolghasemi, M. +2 more
openaire +2 more sources
Compactifications of semitopological semigroups II [PDF]
AbstractCorrecting some “proofs” given in an earlier paper of the same title, we prove here, among other things, that, if S is a subgroup of a topological group that is complete in a left invariant metric or locally compact, then every weakly almost periodic function on S is (left and right) uniformly continuous.
openaire +2 more sources
Quantum Dynamical Semigroups and Decoherence
We prove a version of the Jacobs‐de Leeuw‐Glicksberg splitting theorem for weak* continuous one‐parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003).
Mario Hellmich, Christian Maes
wiley +1 more source
Characterizations of vector‐valued weakly almost periodic functions
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
Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup
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
Fixed point theorems for generalized Lipschitzian semigroups
Let K be a nonempty subset of a p‐uniformly convex Banach space E, G a left reversible semitopological semigroup, and 𝒮 = {Tt : t ∈ G} a generalized Lipschitzian semigroup of K into itself, that is, for s ∈ G, ‖Tsx − Tsy‖ ≤ as‖x − y‖ + bs(‖x − Tsx‖ + ‖y − Tsy‖) + cs(‖x − Tsy‖ + ‖y − Tsx‖), for x, y ∈ K where as, bs, cs > 0 such that there exists a t1 ∈
Jong Soo Jung, Balwant Singh Thakur
wiley +1 more source

