Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators |
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| Authors: | MI Gil' |
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| Affiliation: | Department of Mathematics, Ben Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel |
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| Abstract: | A compact operator in a separable Hilbert space is of infinite order if it does not belong to any Schatten-von Neumann ideal. In the paper, upper and lower bounds for the regularized determinants of infinite order operators are derived. By these bounds, perturbations results for the regularized determinants are established. |
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| Keywords: | Compact linear operators Infinite order Regularized determinant Perturbations |
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