Generalized Weyl’s theorem and spectral continuity for quasi-class (A, k) operators

2012 ◽  
Vol 78 (1-2) ◽  
pp. 241-250
Author(s):  
Fugen Gao ◽  
Xiaochun Fang
Keyword(s):  
Weyl’S Theorem ◽  
Class A ◽  
Generalized Weyl’S Theorem ◽  
Spectral Continuity

On Quasi-Class A Operators

2013 ◽  
Vol 59 (1) ◽  
pp. 163-172
Author(s):  
Salah Mecheri
Keyword(s):  
Hilbert Space ◽  
Analytic Function ◽  
Complex Hilbert Space ◽  
Linear Operators ◽  
Weyl’S Theorem ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Infinite Dimensional ◽  
Class A ◽  
Generalized Weyl’S Theorem

Abstract Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the algebra of all bounded linear operators on H. Let A;B be operators in B(H). In this paper we prove that if A is quasi-class A and B* is invertible quasi-class A and AX = XB, for some X ∈ C2 (the class of Hilbert-Schmidt operators on H), then A*X = XB*. We also prove that if A is a quasi-class A operator and f is an analytic function on a neighborhood of the spectrum of A, then f(A) satisfies generalized Weyl's theorem. Other related results are also given.

GENERALIZED WEYL'S THEOREM FOR ALGEBRAICALLY $k$-QUASI-PARANORMAL OPERATORS

2012 ◽  
Vol 25 (4) ◽  
pp. 655-668 ◽  
Author(s):  
D. Senthilkumar ◽  
P. Maheswari Naik ◽  
N. Sivakumar
Keyword(s):  
Weyl’S Theorem ◽  
Generalized Weyl’S Theorem

scholarly journals Generalized weyl's theorem for algebraically quasi-paranormal operators

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Il Ju An ◽  
Young Min Han
Keyword(s):  
Weyl’S Theorem ◽  
Generalized Weyl’S Theorem

Weyl’s Theorem for Algebraically Quasi-class A Operators

2008 ◽  
Vol 62 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Il Ju An ◽  
Young Min Han
Keyword(s):  
Weyl’S Theorem ◽  
Class A

SVEP and Generalized Weyl’s Theorem

2007 ◽  
Vol 4 (3) ◽  
pp. 309-320 ◽  
Author(s):  
Bhagwati P. Duggal
Keyword(s):  
Weyl’S Theorem ◽  
Generalized Weyl’S Theorem

scholarly journals ON WEYL'S THEOREM FOR QUASI-CLASS A OPERATORS

2006 ◽  
Vol 43 (4) ◽  
pp. 899-909 ◽  
Author(s):  
Bhagwati P. Duggal ◽  
In-Ho Jeon ◽  
In-Hyoun Kim
Keyword(s):  
Weyl’S Theorem ◽  
Class A

GENERALIZED WEYL'S THEOREM FOR POSINORMAL OPERATORS

2007 ◽  
Vol 107A (1) ◽  
pp. 81-89
Author(s):  
S. Mecheri
Keyword(s):  
Weyl’S Theorem ◽  
Generalized Weyl’S Theorem

scholarly journals An elementary operator and generalized Weyl’s theorem

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Fugen Gao ◽  
Xiaochun Li
Keyword(s):  
Weyl’S Theorem ◽  
Elementary Operator ◽  
Generalized Weyl’S Theorem
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