scholarly journals Generalized Weyl's theorem and spectral continuity for (<italic>n</italic>, <italic>k</italic>)-quasiparanormal operators

2015 ◽  
Vol 45 (6) ◽  
pp. 789-794
Author(s):  
FuGen GAO ◽  
Qian ZHANG
Keyword(s):  
Weyl’S Theorem ◽  
Generalized Weyl’S Theorem ◽  
Spectral Continuity

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

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

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

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

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.

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

scholarly journals GENERALIZED WEYL'S THEOREM FOR FUNCTIONS OF OPERATORS AND COMPACT PERTURBATIONS

2012 ◽  
Vol 49 (5) ◽  
pp. 899-910
Author(s):  
Ting Ting Zhou ◽  
Chun Guang Li ◽  
Sen Zhu
Keyword(s):  
Weyl’S Theorem ◽  
Generalized Weyl’S Theorem ◽  
Compact Perturbations ◽  
Functions Of Operators

scholarly journals Generalized Weyl’s theorems for polaroid operators

2011 ◽  
Vol 27 (1) ◽  
pp. 24-33
Author(s):  
C. CARPINTERO ◽  
◽  
D. MUNOZ ◽  
E. ROSAS ◽  
O. GARCIA ◽  
...  
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Linear Operators ◽  
Weyl’S Theorem ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Generalized Weyl’S Theorem ◽  
Polaroid Operators ◽  
Weyl Theorem ◽  
Necessary And Sufficient

In this paper we establish necessary and sufficient conditions on bounded linear operators for which generalized Weyl’s theorem, or generalized a-Weyl theorem, holds. We also consider generalized Weyl’s theorems in the framework of polaroid operators and obtain improvements of some results recently established in [20] and [29].

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