Results 51 to 60 of about 19,963,404 (159)
A C *-algebra A is called an ideal C * -algebra (or equally a dual algebra) if it is an ideal in its bidual A**. M.C.F. Berglund proved that subalgebras and quotients of ideal C*-algebras are also ideal C*-algebras, that a commutative C *-algebra A is an
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A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC TO A $C^*$ -ALGEBRA
It has been a long-standing question whether every amenable operator algebra is isomorphic to a (necessarily nuclear) $\mathrm{C}^*$ -algebra.
YEMON CHOI, ILIJAS FARAH, NARUTAKA OZAWA
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An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
We construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from ...
Nguyen Van Dung +2 more
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Poisson C*-algebra derivations in Poisson C*-algebras
In this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
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On the structure of Leibniz algebras, whose subalgebras are ideals or core-free
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia +2 more
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Partial translation algebras for trees
In [1] we introduced the notion of a partial translation C*-algebra for a discrete metric space. Here we demonstrate that several important classical C*-algebras and extensions arise naturally by considering partial translation algebras associated with ...
Wright, Nick J. +2 more
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c-Cluster algebra and c-friezes
Neste trabalho introduzimos uma nova classe de álgebra de conglomerado com coeficientes do tipo Dynkin A_n, a qual denominaremos álgebra c-conglomerada.
Borges, Fernando Araujo
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Before showed in 1961 that every n-homogeneous C*-algebra is isomorphic to the algebra of all continuous sections for the appropriate algebraic bundle. The base space for the bundle is homeomorphic to the space of primitive ideals for the algebra in the ...
Mikhail V. Shchukin
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On the Covariance of Moore-Penrose Inverses in Rings with Involution
We consider the so-called covariance set of Moore-Penrose inverses in rings with an involution. We deduce some new results concerning covariance set. We will show that if a is a regular element in a C∗-algebra, then the covariance set of a is closed in ...
Hesam Mahzoon
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Poincare series for the algebras of joint invariants and covariants of $n$ quadratic forms
We consider one of the fundamental problems of classical invariant theory - the research of Poincare series for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
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