Results 11 to 20 of about 590 (104)
Set‐set topologies and semitopological groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 Summary: Let G be a group with binary operation. Let T be a topology for G such that for all \(g\in G\) the maps, \(n_ g: G\to G\) and \({}_ gm: G\to G\), defined by \(m_ g(f)=f\cdot g\) and \({}_ gm(f)=g\cdot f\), respectively, are continuous. Then (G,T) is called a semitopological group.
Kathryn F. Porter
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Recapturing semigroup compactifications of a group from those of its closed normal subgroups
International Journal of Mathematics and Mathematical Sciences, 2000 We know that if S is a subsemigroup of a semitopological semigroup T, and 𝔉 stands for one of the spaces 𝒜𝒫,𝒲𝒜𝒫,𝒮𝒜𝒫,𝒟 or ℒ𝒞, and (ϵ,T𝔉) denotes the canonical 𝔉-compactification of T, where T has the property that 𝔉(S)=𝔉(T)|s, then (ϵ|s,ϵ(S)¯) is an 𝔉 ...
M. R. Miri, M. A. Pourabdollah
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Preduals of semigroup algebras [PDF]
, 2010 For a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C 0(G) of M(G) is the unique predual which makes both the product and the coproduct on M(G) weak ...
Daws, M., Pham, H-L., White, S.
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Beurling slow and regular variation
Transactions of the London Mathematical Society, Volume 1, Issue 1, Page 29-56, 2014., 2014 We give a new theory of Beurling regular variation (Part II). This includes the previously known theory of Beurling slow variation (Part I) to which we contribute by extending Bloom's theorem. Beurling slow variation arose in the classical theory of Karamata slow and regular variation. We show that the Beurling theory includes the Karamata theory.
N. H. Bingham, A. J. Ostaszewski
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Submetrizability in semitopological groups
Topology and its Applications, 2014 Recall that a \textit{semitopological group} is a group with a topology such that the multiplication in the group is separately continuous, and if the multiplication is jointly continuous, then the group is called a \textit{paratopological group}.
Li, Piyu, Xie, Li-Hong, Lin, Shou
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Quantum Dynamical Semigroups and Decoherence
Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011 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
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Subgroups of paratopological groups and feebly compact groups
Applied General Topology, 2014 It is shown that if all countable subgroups of a semitopological group G are precompact, then G is also precompact and that the closure of an arbitrary subgroup of G is again a subgroup.
Manuel Fernández, Mikhail G. Tkachenko
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Paratopological and semitopological groups versus topological groups
Topology and its Applications, 2005 A group \(G\) with a topology is called a \textit{semitopological group} if the multiplication is separately continuous, and \(G\) is called a \textit{paratopological group} if the multiplication is jointly continuous. Clearly, every topological group is paratopological group and semitopological group.
Arhangel'skii, A.V., Reznichenko, E.A.
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International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Several new characterizations of strongly irresolvable topological spaces are found and precise relationships are noted between strong irresolvability, hereditary irresolvability, and submaximality. It is noted that strong irresolvablity is a faint topological property, while neither hereditary irresolvablity nor submaximality are semitopological.
David Rose, Kari Sizemore, Ben Thurston
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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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