carpathian_2016_32_1_131_140_abstractcarpathian_2016_32_1_131_140Consider a commutative diagram of bounded linear operators between Banach spaces
![\[ \begin{CD} \qquad\qquad\qquad\qquad 0 @>>> X @>{J}>> Y @>{Q}>> Z @>>> 0\\ @. @V{A}VV @V{B}VV @V{C}VV @. \qquad\qquad\qquad \qquad \\ \qquad\qquad\qquad\qquad 0 @>>> X @>>{J}> Y @>>{Q}> Z @>>> 0 \end{CD} \]](https://www.carpathian.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-5a2932a0c3a948f7e28f6df894e24433_l3.png "Rendered by QuickLaTeX.com")
with exact rows.
In what ways are the spectral and local spectral properties of 
related to those of the pairs of operators 
and 
?
In this paper, we give our answers to this general question using tools from local spectral theory.
| Author(s) | Zeng, Qingping |
|---|
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