Variations on A-Browder-Type Theorems
DOI:
https://doi.org/10.5644/SJM.09.2.11Keywords:
Essential semi-B-Fredholm spectrum, a-Weyl's theorem, a-Browder's theorem, property $(SBw)$Abstract
We introduce and we study the new spectral properties $(SBw)$, $(SBaw)$, $(SBab)$ and $(SBb).$ Among other results, we show that if $T$ is a bounded linear operator acting on a Banach space $X$, then $T$ possesses property $(SBb)$ if and only if $T$ possesses property $(b)$ and $\Pi^0(T)=\Pi_a(T).$
2010 Mathematics Subject Classification. Primary 47A53, 47A10, 47A11.
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