On Berezin Number Inequalities for Operator Matrices

2021 ◽  
Author(s):  
Satyajit Sahoo ◽  
Namita Das ◽  
Nirmal Chandra Rout
Keyword(s):  
Operator Matrices ◽  
Berezin Number

scholarly journals Some Berezin number inequalities for operator matrices

2018 ◽  
Vol 68 (4) ◽  
pp. 997-1009 ◽  
Author(s):  
Mojtaba Bakherad
Keyword(s):  
Operator Matrices ◽  
Berezin Number

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 On complex symmetric operator matrices

2013 ◽  
Vol 406 (2) ◽  
pp. 373-385 ◽  
Author(s):  
Sungeun Jung ◽  
Eungil Ko ◽  
Ji Eun Lee
Keyword(s):  
Symmetric Operator ◽  
Operator Matrices ◽  
Complex Symmetric Operator ◽  
Complex Symmetric
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