Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416358 | Linear Algebra and its Applications | 2015 | 14 Pages |
Abstract
Given two trace class operators A and B on a separable Hilbert space we provide an upper bound for the Hausdorff distance of their spectra involving only the distance of A and B in operator norm and the singular values of A and B. By specifying particular asymptotics of the singular values our bound reproduces or improves existing bounds for the spectral distance. The proof is based on lower and upper bounds for determinants of trace class operators of independent interest.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Oscar F. Bandtlow, AyÅe Güven,