scholarly journals IDEALS IN THE UPPER TRIANGULAR OPERATOR ALGEBRA ALG

2017 ◽  
Vol 39 (1) ◽  
pp. 93-100 ◽  
Author(s):  
Sang Ki Lee ◽  
Joo Ho Kang
Keyword(s):  
Operator Algebra ◽  
Triangular Operator

Locating the radical of a triangular operator algebra

1994 ◽  
Vol 115 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Laura Mastrangelo ◽  
Paul S. Muhly ◽  
Baruch Solel
Keyword(s):  
Operator Algebra ◽  
Jacobson Radical ◽  
Sufficient Conditions ◽  
Primary Objective ◽  
Necessary And Sufficient Conditions ◽  
Explicit Description ◽  
Crossed Products ◽  
Triangular Operator ◽  
Necessary And Sufficient

AbstractOur primary objective is to give necessary and sufficient conditions for a triangular subalgebra of a groupoid C-algebra to be semisimple, i.e. to have vanishing Jacobson radical. If, in addition, the subalgebra is the analytic subalgebra determined by a real-valued cocycle on the groupoid, then we can give an explicit description of the radical in terms of the cocycle. As a consequence of this analysis, we are able to determine when certain analytic crossed products are semisimple.

scholarly journals Local Spectral Properties Under Conjugations

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Pietro Aiena ◽  
Fabio Burderi ◽  
Salvatore Triolo
Keyword(s):  
Hilbert Space ◽  
Spectral Properties ◽  
Operator Matrices ◽  
Weyl Type Theorems ◽  
Triangular Operator ◽  
Analytic Core ◽  
Complex Symmetric ◽  
Symmetric Operators ◽  
The Relationship

AbstractIn this paper, we study some local spectral properties of operators having form JTJ, where J is a conjugation on a Hilbert space H and $$T\in L(H)$$ T ∈ L ( H ) . We also study the relationship between the quasi-nilpotent part of the adjoint $$T^*$$ T ∗ and the analytic core K(T) in the case of decomposable complex symmetric operators. In the last part we consider Weyl type theorems for triangular operator matrices for which one of the entries has form JTJ, or has form $$JT^*J$$ J T ∗ J . The theory is exemplified in some concrete cases.

scholarly journals Conditional expectation in an operator algebra, I

1954 ◽  
Vol 6 (2-3) ◽  
pp. 177-181 ◽  
Author(s):  
Hisaharu Umegaki
Keyword(s):  
Operator Algebra ◽  
Conditional Expectation ◽  
Algebra I

scholarly journals Operator Algebras with Unique Preduals

2011 ◽  
Vol 54 (3) ◽  
pp. 411-421 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Alex Wright
Keyword(s):  
Banach Space ◽  
Operator Algebra ◽  
Free Semigroup ◽  
Operator Algebras ◽  
Compact Operators ◽  
Semigroup Algebra ◽  
Dense Subalgebra

AbstractWe show that every free semigroup algebra has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak-∗ closed unital operator algebra containing a weak-∗ dense subalgebra of compact operators has a unique Banach space predual.

scholarly journals The Automorphism Group of the Hamming Code Vertex Operator Algebra

2000 ◽  
Vol 228 (1) ◽  
pp. 204-226 ◽  
Author(s):  
Atsushi Matsuo ◽  
Mika Matsuo
Keyword(s):  
Automorphism Group ◽  
Vertex Operator ◽  
Operator Algebra ◽  
Vertex Operator Algebra ◽  
Hamming Code

Operator Algebra for Differential Systems

1967 ◽  
Vol 3 (2) ◽  
pp. 137-147 ◽  
Author(s):  
W. Choate ◽  
Andrew Sage
Keyword(s):  
Operator Algebra ◽  
Differential Systems

Essential, Weyl and Browder spectra of unbounded upper triangular operator matrices

2015 ◽  
Vol 64 (8) ◽  
pp. 1583-1594 ◽  
Author(s):  
Qingmei Bai ◽  
Junjie Huang ◽  
Alatancang Chen
Keyword(s):  
Operator Matrices ◽  
Triangular Operator ◽  
Upper Triangular Operator Matrices
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