Perturbations of Regularized Determinants of Operators in a Banach Space

Michael Gil

Journal of Mathematics, 2013, vol. 2013, 1-5

Abstract:

Let be a separable Banach space with the approximation property. For an integer , let be a quasinormed ideal of compact operators in with a quasinorm , such that , where are the eigenvalues of and is a constant independent of . We suggest upper and lower bounds for the regularized determinants of operators from as well as bounds for the difference between determinants of two operators. Applications to the -summing operators, Hille-Tamarkin integral operators, Hille-Tamarkin matrices, Schatten-von Neumann operators, and Lorentz operator ideals are discussed.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:409604

DOI: 10.1155/2013/409604

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