scholarly journals A simultaneous triangularization result

2016 ◽  
Vol 498 ◽  
pp. 394-398
Author(s):  
Dan Shemesh
Keyword(s):  
Simultaneous Triangularization

Simultaneous Triangularization of Algebras of Polynomially Compact Operators

1991 ◽  
Vol 34 (2) ◽  
pp. 260-264 ◽  
Author(s):  
M. Radjabalipour
Keyword(s):  
Hilbert Space ◽  
Jacobson Radical ◽  
Compact Operators ◽  
General Algebra ◽  
Closed Algebra ◽  
Quasinilpotent Operators ◽  
Simultaneous Triangularization

AbstractIf A is a norm closed algebra of compact operators on a Hilbert space and if its Jacobson radical J(A) consists of all quasinilpotent operators in A then A/ J(A) is commutative. The result is not valid for a general algebra of polynomially compact operators.

On Simultaneous Triangularization of the Coefficients of Linear Systems

1996 ◽  
Author(s):  
W. C. Lee ◽  
F. Ma
Keyword(s):  
Linear Systems ◽  
Nonconservative System ◽  
Simultaneous Triangularization

Abstract The coefficients of a linear nonconservative system are arbitrary matrices lacking the usual properties of symmetry and definiteness. An efficient way for the analysis of a nonconservative system is to reduce its coefficient matrices simultaneously to upper triangular forms. The purpose of this paper is to present some criteria for simultaneous triangularization and, when applicable, to expound a constructive procedure for triangularization.

Sign in / Sign up

Export Citation Format

Share Document