Results 271 to 280 of about 81,140 (282)

Coordinates for Triangular Operator Algebras

The Annals of Mathematics, 1988
Let A be a Cartan subalgebra of a von Neumann algebra M. This means A is a masa in M, the set of unitaries \(u\in M\) satisfying \(u^{-1}Au=A\) generates M, and there is a faithful normal expectation from M onto A. The simplest example has \(M=M_ n({\mathbb{C}})\) with A its subalgebra of diagonal matrices. In their papers [Trans. Amer. Math. Soc. 234,
Paul S. Muhly, Kichi-Suke Saito, Baruch Solel   +2 more
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Ideals in Triangular Af Algebras [PDF]

Proceedings of the London Mathematical Society, 1994
An ideal \(\mathcal J\) is said to be join-irreducible if whenever \({\mathcal J}= {\mathcal F}\lor {\mathcal G}\) for ideals \(\mathcal F\) and \(\mathcal G\), then either \({\mathcal F}= {\mathcal J}\) or \({\mathcal G}= {\mathcal J}\). We study the class of join- irreducible ideals in those strongly maximal triangular UHF algebras which arise as ...
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Derivations of triangular Banach algebras

Indiana University Mathematics Journal, 1996
For Banach algebras \(\mathbb{A},\mathbb{B}\) and a Banach \(\mathbb{A},\mathbb{B}\)-module \(\mathbb{M}\) the corresponding triangular Banach algebra \(\left[ \begin{smallmatrix} \mathbb{A} &\mathbb{M}\\ 0 &\mathbb{B} \end{smallmatrix} \right]\) is the Banach algebra of \(2\times 2\)-matrices with entries from \(\mathbb{A}, \mathbb{M},0\) and ...
Brian E. Forrest, L. W. Marcoux
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Representation of algebras by triangular matrices

Algebra and Logic, 1985
Associative algebras are considered over a commutative ring \(\phi\) with identity. By a triangular system \(D\) of order \(n\) \((n\in N\cup \{\infty\})\) is understood a system of \(\phi\)-modules \(D_{ij}\) \((1\leq i\leq j\leq n+1)\) for which associative bilinear homomorphisms \(D_{ij}\times D_{jk}\to D_{ik}\) (i\(\leq j\leq k)\) are defined and \(
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Commuting Maps of Triangular Algebras

Journal of the London Mathematical Society, 2001
We investigate commuting maps on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every commuting map \(L\) on such an algebra is of the form \(L(a)=ax+h(a)\), where \(x\) lies in the center of the algebra and \(h\) is a linear map from the algebra to its center.
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On radicals of triangular operator algebras

Israel Journal of Mathematics, 1993
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Triangular representations of linear algebras

Mathematical Proceedings of the Cambridge Philosophical Society, 1953
It is well known that the elements of any given commutative algebra (and hence of any commutative set) of n × n matrices, over an algebraically closed field K, have a common eigenvector over K; indeed, the elements of such an algebra can be simultaneously reduced to triangular form (by a suitable similarity transformation).
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A train algebra that is not special triangular

Archiv der Mathematik, 1988
Two important classes of nonassociative algebras arising in population genetics are the train algebras and the special triangular (or Gonshor) algebras. Every special triangular algebra is train. The question of whether there exist commutative train algebras (over a field of characterization 0) that are not special triangular was open for 40 years ...
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On triangular subalgebras of groupoidC*-algebras

Israel Journal of Mathematics, 1990
Let \({\mathfrak B}\) be a \(C^*\)-algebra with Stratile-Voiculescu masa \({\mathfrak D}\) and \({\mathfrak A}\) be a maximal triangular subalgebra of \({\mathfrak B}\) with diagonal \({\mathfrak D}\). In the article [\textit{J. R. Peters}, \textit{Y. T. Poon} and \textit{B. H. Wagner}, J. Oper.
Paul S. Muhly, Baruch Solel
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Identities of an algebra of triangular matrices

Journal of Soviet Mathematics, 1984
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 114, 7-27 (Russian) (1982; Zbl 0498.16013).
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