Results 11 to 20 of about 4,790 (201)
Local Properties of Ternary Rings of Operators and Their Linking C *-Algebras
Journal of Functional Analysis, 2002 A ternary ring of operators between Hilbert spaces \(K\) and \(H\) is a norm closed subspace \(V\) of \(B(K, H)\), which is closed under the triple product \[ (x,y,z)\in V\times V\times V\mapsto xy^* z\in V. \] In the paper under review, it is proved that some local properties, such as nuclearity, exactness, and local reflexivity of ternary ring of ...
Kaur, Manmohan, Ruan, Zhong-Jin
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A characterization of ternary rings of operators
Advances in Mathematics, 1983 openaire +3 more sources
Finite generation in $C^\ast$-algebras and Hilbert $C^\ast$-modules [PDF]
, 2014 We characterize $C^*$-algebras and $C^*$-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated.
Blecher, David P., Kania, Tomasz
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Ideal decompositions of a ternary ring of operators with predual [PDF]
Pacific Journal of Mathematics, 2013 An operator space \(X\) is called a ternary ring of operators (TRO for short) if there exists a complete isometry \(\iota\) from \(X\) into a \(C^*\)-algebra such that \(\iota (x) \iota(y)^* \iota(z) \in \iota(X)\) for all \(x, y,z \in X\). The author shows that any TRO which is a dual Banach space can be decomposed into the direct sum of a two-sided ...
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Spectral synthesis and masa-bimodules [PDF]
, 2002 Generalizing a result of Arveson on finite width CSL algebras, we prove that finite width masa-bimodules satisfy spectral synthesis. Introducing a new class of masa-bimodules, we show that there exists a non-synthetic masa-bimodule, such that the maximal
Todorov, I. G.
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On the normality of Higgins commutators [PDF]
, 2014 In a semi-abelian context, we study the condition (NH) asking that Higgins commutators of normal subobjects are normal subobjects. We provide examples of categories that do or do not satisfy this property.
Alan S. Cigoli +3 more
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Generic Power Sum Decompositions and Bounds for the Waring Rank [PDF]
, 2017 A notion of open rank, related with generic power sum decompositions of forms, has recently been introduced in the literature. The main result here is that the maximum open rank for plane quartics is eight. In particular, this gives the first example of $
Ballico, Edoardo, De Paris, Alessandro
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On Deformations of n-Lie algebras
, 2015 The aim of this paper is to review the deformation theory of $n$-Lie algebras. We summarize the 1-parameter formal deformation theory and provide a generalized approach using any unital commutative associative algebra as a deformation base.
A. Fialowski +68 more
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Twisted actions and regular Fell bundles over inverse semigroups
, 2010 We introduce a new notion of twisted actions of inverse semigroups and show that they correspond bijectively to certain regular Fell bundles over inverse semigroups, yielding in this way a structure classification of such bundles.
Buss, Alcides, Exel, Ruy
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On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
, 2010 It is observed that the category of n-ary Hom-Nambu(-Lie) algebras is closed under twisting by self-weak morphisms. Constructions of ternary Hom-Nambu algebras from Hom-associative algebras, Hom-Lie algebras, ternary totally Hom-associative algebras, and
Albert +61 more
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