Results 91 to 100 of about 1,356 (186)
Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
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Representation of right zero semigroups and their semilattices by a transformation semigroup
Background. As is known, an arbitrary semigroup can be represented by a semigroup of transformations that are right shifts either in this semigroup itself or in the extended semigroup obtained from the original one by adding an outer unit. The problems
L.V. Zyablitseva +2 more
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Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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On the Multiplier Semigroup of a Weighted Abelian Semigroup
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Dabhi, Prakash A., Pandey, Manish Kumar
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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On almost (m, n)-ideals and fuzzy almost (m, n)-ideals in semigroups
In this paper, we define almost $(m,n) $-ideals of semigroups by using the concepts of $(m,n) $-ideals and almost ideals of semigroups. An almost $(m,n) $-ideal is a generalization of $(m,n) $-ideals and a generalization of almost one-sided ideals.
Sudaporn Suebsung +2 more
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The α-bicyclic semigroup as a topological semigroup
C. Eberhart and J. Selden showed that the only Hausdorff topology on the bicyclic semigroup which makes it a topological semigroup is the discrete topology. A related result proved in this paper is the following: Let \(W_{\alpha}\) be the \(\alpha\)-bisimple semigroup. The only locally compact Hausdorff semigroup topology on \(W_{\alpha}\) is discrete.
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Semigroups of multipliers associated with semigroups of operators [PDF]
Let G G be an infinite compact group with dual object
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Ordered Regular Semigroups with Biggest Associates
We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ...
Blyth T.S., Santos M.H. Almeida
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Extensions of semigroups and morphisms of semigroup $C^*$-algebras
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