Results 21 to 30 of about 812,891 (203)
n -Derivations of triangular algebras
Linear Algebra and its Applications, 2013 Let \(\mathcal A\) be a triangular algebra. Let \(n\geq 2\) be an integer. A mapping \(\varphi\colon\mathcal A\times\mathcal A\times\cdots\times\mathcal A\to\mathcal A\) is said to be an \(n\)-derivation if it is a derivation in each argument. In this paper the authors mainly investigate \(n\)-derivations (\(n\geq 3\)) for a certain class of triangular
Wang, Yao, Wang, Yu, Du, Yiqiu
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Additivity of maps on triangular algebras
The Electronic Journal of Linear Algebra, 2008 11 ...
Cheng, Xuehan, Jing, Wu
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Primitive Triangular UHF Algebras
Journal of Functional Analysis, 1998 The authors prove that a large class of triangular UHF algebras are primitive. There are cases where explicitly they give a faithful algebraically irreducible representation of the algebra on a separable Hilbert space. For other cases they follow an indirect way studying the prime ideal structure of the algebra. From this they obtain a characterization
Hudson, T.D, Katsoulis, E.G
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Groups of triangular automorphisms of a free associative algebra and a polynomial algebra [PDF]
, 2010 We study a structure of the group of unitriangular automorphisms of a free associative algebra and a polynomial algebra and prove that this group is a semi direct product of abelian groups.
V. Bardakov +2 more
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Biderivations of triangular algebras
Linear Algebra and its Applications, 2009 Let \(C\) be a commutative ring with identity. A `triangular algebra' is every algebra of the form \[ \mathcal A=\text{Tri}(A,M,B) = \begin{pmatrix} A&M \\ 0&B\end{pmatrix}, \] where \(A\) and \(B\) are unital algebras over \(C\) and \(M\) is an \((A,B)\)-bimodule which is faithful as a left \(A\)-module as well as a right \(B\)-module.
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Semisimple Triangular AF Algebras
Journal of Functional Analysis, 1993 Necessary and sufficient conditions for a triangular AF algebra to be semisimple are given. In particular, a triangular AF algebra which can be written using the standard embedding infinitely often is semisimple; also a semisimple triangular AF algebra is given which does not have a presentation of this form. If two triangular AF algebras have the same
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Block Triangularization of Algebras of Matrices
Linear Algebra and its Applications, 1980 AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algebra of n × n matrices over a field F. It is shown that there is a similarity transformation reducing the algebra to a block triangular form in which, ateach pair of diagonal places, the blocks either are always equal or may be occupied by any entries from
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The structure of hyperreducible triangular algebras [PDF]
Proceedings of the American Mathematical Society, 1964 Introduction. In [5] Kadison and Singer have defined triangular algebras of operators on a Hilbert space and have investigated a number of their properties with the major emphasis on classification and examples. It is the purpose of this paper to give a new construction for the hyperreducible algebras which gives some additional insight into their ...
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Triangularization of a Jordan algebra of Schatten operators [PDF]
Proceedings of the American Mathematical Society, 2008 We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is simultaneously triangularizable.
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Algebraic and Triangular n-Hyponormal Operators [PDF]
Proceedings of the American Mathematical Society, 1995 In this paper we shall prove that if an operator T ∈
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