Gupta, Anuradha; Kashyap, Neeru Generalized \(a\)-Weyl’s theorem for direct sums. (English) Zbl 1258.47008 Mat. Vesn. 62, No. 4, 265-270 (2010). Summary: If \(T\) and \(S\) are Hilbert space operators obeying a generalized a-Weyl’s theorem, then it does not necessarily imply that the direct sum \(T\oplus S\) obeys a generalized a-Weyl’s theorem. We explore certain conditions on \(T\) and \(S\) so that the direct sum \(T\oplus S\) obeys a generalized a-Weyl’s theorem. Cited in 2 Documents MSC: 47A11 Local spectral properties of linear operators 47A53 (Semi-) Fredholm operators; index theories PDFBibTeX XMLCite \textit{A. Gupta} and \textit{N. Kashyap}, Mat. Vesn. 62, No. 4, 265--270 (2010; Zbl 1258.47008) Full Text: EMIS