Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators
A compact operator in a separable Hilbert space is called of infinite order if it does not belong to any Schatten-von Neumann ideal [cf. \textit{M. G. Kreĭn} and \textit{I. C. Gohberg}, ``Theory and applications of Volterra operators in Hilbert space'' (Translations of Mathematical Monographs 24, AMS, Providence/RI) (1970; Zbl 0194.43804)]. In the present paper, the author extends some results on determinants of Schatten-von Neumann operators to infinite order operators by presenting some upper and lower bounds for the regularized determinants of infinite order operators and gives some perturbation results.
scientific article; zbMATH DE number 5362169
scientific article