Carpintero, C.; Rosas, E.; Rodriguez, J.; Muñoz, D.; Alcalá, K. Spectral properties and restrictions of bounded linear operators. (English) Zbl 1312.47005 Ann. Funct. Anal. 6, No. 2, 173-183 (2015). Summary: Assume that \(T\in L(X)\) is a bounded linear operator on a Banach space \(X\) and that \(T_n\) is a restriction of \(T\) on \(R(T^n)=T^n(X)\). In general, almost nothing can be said concerning the relationship between the spectral properties of \(T\) and \(T_n\). However, under some conditions, it is shown that several spectral properties introduced recently are the same for \(T\) and \(T_n\). Cited in 1 Document MSC: 47A10 Spectrum, resolvent 47A11 Local spectral properties of linear operators 47A53 (Semi-) Fredholm operators; index theories 47A55 Perturbation theory of linear operators Keywords:semi Fredholm operators; poles of the resolvent; single valued extension property; ascent; descent PDFBibTeX XMLCite \textit{C. Carpintero} et al., Ann. Funct. Anal. 6, No. 2, 173--183 (2015; Zbl 1312.47005) Full Text: DOI Euclid