scholarly journals Preserving of local spectral radius zero of Jordan product of operators

2021 ◽  
Keyword(s):  
Spectral Radius ◽  
Jordan Product ◽  
Local Spectral Radius

scholarly journals The local spectral radius of a nonnegative orbit of compact linear operators

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Mihály Pituk
Keyword(s):  
Banach Space ◽  
Spectral Radius ◽  
Additional Assumption ◽  
Real Banach Space ◽  
Linear Operators ◽  
Partial Ordering ◽  
Positive Eigenvector ◽  
Local Spectral Radius

AbstractWe consider orbits of compact linear operators in a real Banach space which are nonnegative with respect to the partial ordering induced by a given cone. The main result shows that under a mild additional assumption the local spectral radius of a nonnegative orbit is an eigenvalue of the operator with a positive eigenvector.

scholarly journals A formula for the joint local spectral radius

2003 ◽  
Vol 132 (5) ◽  
pp. 1449-1451
Author(s):  
E. Yu. Emel’yanov ◽  
Z. Ercan
Keyword(s):  
Spectral Radius ◽  
Local Spectral Radius

Local Spectral Radius Preservers

2013 ◽  
Vol 76 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Abdellatif Bourhim ◽  
Javad Mashreghi
Keyword(s):  
Spectral Radius ◽  
Local Spectral Radius
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