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VANISHING OF THE FIRST (σ, τ )-COHOMOLOGY GROUP OF TRIANGULAR BANACH ALGEBRAS
Maryam Khosravi +2 more
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Linear Lie centralizers of the algebra of dominant block upper triangular matrices
Linear and multilinear algebra, 2021Let be the algebra of all dominant block upper triangular matrices over a field. In this paper, we explicitly describe all linear Lie centralizers of .
P. Ghimire
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Characterizations of Lie centralizers of triangular algebras
Linear and multilinear algebra, 2022Let be an unital algebra over the complex field . A linear map ϕ from into itself is called a Lie centralizer at a given point if for all with ST = G. The aim of this paper is to give a description of Lie centralizers at an arbitrary but fixed point on ...
Lei Liu, Kaitian Gao
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Structured Triangular Limit Algebras
Proceedings of the London Mathematical Society, 1997A class of triangular UHF algebras are investigated which have the special property that there exists a sequence of unital multiplicative contractive finite-rank conditional expectations of the algebra into itself, which converges strongly to the identity, whose ranges form an increasing chain with dense union.
Larson, David R., Solel, Baruch
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Almost-triangular Hopf Algebras
Algebras and Representation Theory, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guohua, Zhu, Shenglin
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Involutions of the second kind for upper triangular matrix algebras
Communications in Algebra, 2022Let UTn be the algebra of all n × n upper triangular matrices over a field F of characteristic different from 2. In the present work, we will prove that for every automorphism of order 2 on the field F there exists, up to isomorphism, a unique involution
Ronald Ismael Quispe Urure, Da Silva
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Bi-Semiderivations on Triangular Algebra
Contemporary MathematicsThe intension of present study is to investigate the structure of bi-semiderivations on triangular algebra with the help of associated module homomorphism.
Aisha Al-Subhit +2 more
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Coordinates for Triangular Operator Algebras
The Annals of Mathematics, 1988Let 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,
Muhly, Paul S. +2 more
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