$B$-spectral theory of linear relations in complex Banach spaces

2017 ◽  
Vol 91 (3-4) ◽  
pp. 455-466
Author(s):  
Marcel Roman ◽  
Adrian Sandovici
Keyword(s):  
Banach Spaces ◽  
Spectral Theory ◽  
Linear Relations

Spectral theory of linear relations on real Banach spaces

2007 ◽  
Vol 81 (1-2) ◽  
pp. 15-27 ◽  
Author(s):  
A. G. Baskakov ◽  
A. S. Zagorskii
Keyword(s):  
Banach Spaces ◽  
Spectral Theory ◽  
Linear Relations

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2012 ◽  
Vol 255 (2) ◽  
pp. 349-372 ◽  
Author(s):  
Dana Gheorghe ◽  
Florian Vasilescu
Keyword(s):  
Spectral Theory ◽  
Linear Operators ◽  
Linear Relations

scholarly journals Five short lemmas in Banach spaces

2016 ◽  
Vol 32 (1) ◽  
pp. 131-140
Author(s):  
QINGPING ZENG ◽  
Keyword(s):  
Banach Spaces ◽  
Spectral Theory ◽  
Commutative Diagram ◽  
Spectral Properties ◽  
Linear Operators ◽  
General Question ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Local Spectral Theory

Consider a commutative diagram of bounded linear operators between Banach spaces...with exact rows. In what ways are the spectral and local spectral properties of B related to those of the pairs of operators A and C? In this paper, we give our answers to this general question using tools from local spectral theory.

The Local Spectral Theory for Linear Relations Involving SVEP

2021 ◽  
Vol 18 (2) ◽  
Author(s):  
Aymen Ammar ◽  
Ameni Bouchekoua ◽  
Aref Jeribi
Keyword(s):  
Spectral Theory ◽  
Linear Relations ◽  
Local Spectral Theory

Stability of some essential spectra of closed linear relations on Banach spaces

2018 ◽  
Vol 29 (7-8) ◽  
pp. 987-993 ◽  
Author(s):  
Aymen Ammar ◽  
Omar Jedidi ◽  
Aref Jeribi
Keyword(s):  
Banach Spaces ◽  
Essential Spectra ◽  
Linear Relations
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