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Images of Generalized Multilinear Polynomials on Upper Triangular Matrix Algebras

Axioms
A polynomial is called a generalized multilinear polynomial if it is a sum of some multilinear polynomials over a field. The goal of this paper is to give a description of the images of generalized multilinear polynomials on upper triangular matrix ...
Qian Chen, Yu Wang
doaj   +4 more sources

Classification of limits of upper triangular matrix algebras. [PDF]

, 1993
Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are alternately of standard and refinement type; (ii) limit algebras associated with refinement embeddings ...
Power, Stephen C., Hopenwasser, A. L.
core   +6 more sources

Involutions for upper triangular matrix algebras

Advances in Applied Mathematics, 2006
The first result in the paper under review is the description of the involutions of the first kind (which fix the centre) of the algebra \(UT_n(F)\) of \(n\times n\) upper triangular matrices over a field of characteristic different from 2. The authors show that, up to isomorphism of algebras with involution, there are two types of involutions.
Onofrio Mario Di Vincenzo, Plamen Koshlukov, Roberto La Scala   +2 more
openaire   +3 more sources

Upper Semi-Weyl and Upper Semi-Browder Spectra of Unbounded Upper Triangular Operator Matrices

Journal of Function Spaces, 2018
In this paper, we study the unbounded upper triangular operator matrix with diagonal domain. Some sufficient and necessary conditions are given under which upper semi-Weyl spectrum (resp.
Wurichaihu Bai, Qingmei Bai, Alatancang Chen   +2 more
doaj   +2 more sources

𝐾ᵢ of upper triangular matrix rings [PDF]

Proceedings of the American Mathematical Society, 1976
Standard techniques are used to compute K i
R. Keith Dennis, Susan C. Geller
openaire   +2 more sources

Graded polynomial identities on upper block triangular matrix algebras

Journal of Algebra, 2014
Let \(UT(\alpha_1,\ldots,\alpha_m)\) be the algebra of upper block triangular matrices with \(i\)-th diagonal block consisting of \(\alpha_i\times\alpha_i\) matrices, \(i=1,\ldots,m\). In the paper under review the authors study elementary \(G\)-gradings of \(UT(\alpha_1,\ldots,\alpha_m)\) when \(G\) is an abelian group and the base field is of ...
Onofrio Mario Di Vincenzo, SPINELLI, ERNESTO   +1 more
openaire   +3 more sources

Lexicographic semigroupoids. [PDF]

, 1996
The natural lexicographic semigroupoids associated with Cantor product spaces indexed by countable linear orders are classified. Applications are given to the classification of triangular operator algebras which are direct limits of upper-triangular ...
Power, Stephen C.
core   +4 more sources

On the numerical radius of an upper triangular operator matrix

Tamkang Journal of Mathematics, 2023
The main purpose of this paper is to give an improvement of numerical radius inequality for an upper triangular operator matrix.
Mehdi Naimi, Mohammed Benharrat
openaire   +1 more source

Involutions and characters of upper triangular matrix groups [PDF]

Mathematics of Computation, 2005
We study the realizability over R \mathbb {R} of representations of
I. M. Isaacs, Dikran B. Karagueuzian
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ψ3 as an Upper Triangular Matrix

K-Theory, 2005
26 ...
Barker, Jonathan, Snaith, Victor
openaire   +3 more sources