Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators (Q953508)
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scientific article; zbMATH DE number 5362169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators |
scientific article; zbMATH DE number 5362169 |
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Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators (English)
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6 November 2008
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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. KreÄn} 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.
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compact linear operator
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infinite order
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regularized determinant
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perturbations
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0.91025966
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0.88185257
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0.8786427
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0.87589204
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0.8678318
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0.8673588
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