Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899743 | Journal of Mathematical Analysis and Applications | 2018 | 20 Pages |
Abstract
We give some new criteria for a Hilbert space operator with spectrum on a smooth curve to be similar to a normal operator, in terms of pointwise and integral estimates of the resolvent. These results generalize criteria of Stampfli, Van Casteren and Naboko, and answers several questions posed by Stampfli in [48]. The main tools are from our recent results [12] on dilation to the boundary of the spectrum, along with the Dynkin functional calculus for smooth functions, which is based on pseudoanalytic continuation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michael A. Dritschel, Daniel Estévez, Dmitry Yakubovich,