Jódar, Lucas Decomposition of operators with countable spectrum. (English) Zbl 0635.47034 Stochastica 10, 171-180 (1986). Sufficient spectral conditions for the existence of a spectral decomposition of an operator T defined on a Banach space X, with countable spectrum are given. We apply the results to obtain the West decomposition of certain Riesz operators. MSC: 47B40 Spectral operators, decomposable operators, well-bounded operators, etc. 47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces Keywords:Sufficient spectral conditions for the existence of a spectral decomposition; countable spectrum; West decomposition of certain Riesz operators PDFBibTeX XMLCite \textit{L. Jódar}, Stochastica 10, 171--180 (1986; Zbl 0635.47034) Full Text: EuDML