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.
Original language | English |
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Pages (from-to) | 443-451 |
Number of pages | 9 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 349 |
Issue number | 2 |
DOIs | |
State | Published - 15 Jan 2009 |
Keywords
- Compact linear operators
- Infinite order
- Perturbations
- Regularized determinant
ASJC Scopus subject areas
- Analysis
- Applied Mathematics