Weidmann, Joachim Strong operator convergence and spectral theory of ordinary differential operators. (English) Zbl 0964.47004 Zesz. Nauk. Uniw. Jagiell. 1208, Univ. Iagell. Acta Math. 34, 153-163 (1997). The author studies a generalized version of strong resolvent convergence, where the Hilbert spaces on which the operators act may be varying subspaces of a fixed space. This situation occurs when Sturm-Liouville operators are approximated by problems on smaller intervals. Some applications of this type are discussed. Reviewer: Christian Remling (Osnabrück) Cited in 18 Documents MSC: 47A58 Linear operator approximation theory 34L05 General spectral theory of ordinary differential operators Keywords:strong resolvent convergence; Sturm-Liouville operators PDFBibTeX XMLCite \textit{J. Weidmann}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1208(34), 153--163 (1997; Zbl 0964.47004)