Perturbations of Regularized Determinants of Operators in a Banach Space
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-23
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let X be a separable Banach space with the approximation property.
For an integer p≥1, let Γp be a quasinormed ideal of compact operators in X with a quasinorm NΓp, such that ∑k=1∞|λk(A)|p≤apNΓpp(A) (A∈Γp), where λk(A) are the eigenvalues of A and ap is a constant independent of A.
We suggest upper and lower bounds for the regularized determinants of operators from Γp as well as bounds for the difference between determinants of two operators.
Applications to the p-summing operators, Hille-Tamarkin integral operators, Hille-Tamarkin matrices, Schatten-von Neumann operators, and Lorentz operator ideals are discussed.
American Psychological Association (APA)
Gil', Michael. 2012. Perturbations of Regularized Determinants of Operators in a Banach Space. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-469901
Modern Language Association (MLA)
Gil', Michael. Perturbations of Regularized Determinants of Operators in a Banach Space. Journal of Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-469901
American Medical Association (AMA)
Gil', Michael. Perturbations of Regularized Determinants of Operators in a Banach Space. Journal of Mathematics. 2012. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-469901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469901