Results 1 to 10 of about 205,180 (208)
Infinite Lexicographic Products of Triangular Algebras [PDF]
arXiv, 1994 Some new connections are given between linear orderings and triangular operator algebras. A lexicograhic product is defined for triangular operator algebras and the Jacobson radical of an infinite lexicographic product of upper triangular matrix algebras is determined.
S. C. Power
arxiv +8 more sources
Additivity of Maps on Triangular Algebras [PDF]
arXiv, 2007 We prove that every multiplicative bijective map, Jordan bijective map, and Jordan triple bijective map from a triangular algebra onto any ring is automatically additive.
Xuehan Cheng, Wu Jing
arxiv +6 more sources
Elementary Maps on Triangular Algebras [PDF]
arXiv, 2007 In this note we prove that elementary maps on triangular algebras are automically additive.
Xuehan Cheng, Wu Jing
arxiv +5 more sources
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 ...
John Schue
openalex +2 more sources
Invariants of triangular Lie algebras [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special
V. Boyko, J. Patera, Roman O. Popovych
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Algebraic isomorphisms and spectra of triangular limit algebras
Indiana University Mathematics Journal, 2001 We show that the spectrum of a triangular regular limit algebra (TAF algebra) is an invariant for algebraic isomorphism. Combining this with previous results provides a striking rigidity property: two triangular regular limit algebras are algebraically isomorphic if and only if they are isometrically isomorphic.
Allan P. Donsig +2 more
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Triangular Hopf algebras with the Chevalley property [PDF]
Michigan Mathematical Journal, 2001 We say that a Hopf algebra has the Chevalley property if the tensor product of any two simple modules over this Hopf algebra is semisimple. In this paper we classify finite dimensional triangular Hopf algebras with the Chevalley property, over the field of complex numbers.
Nicolás Andruskiewitsch +2 more
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Jordan derivations of triangular algebras
Linear Algebra and its Applications, 2006 AbstractIn this note, it is shown that every Jordan derivation of triangular algebras is a derivation.
Zhang Jian-hua, Weiyan Yu
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Triangular braidings and pointed Hopf algebras [PDF]
Journal of Pure and Applied Algebra, 2006 20 ...
Stefan Ufer
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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.
Matthew Kennedy
openalex +4 more sources