Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900015 | Journal of Mathematical Analysis and Applications | 2018 | 5 Pages |
Abstract
Anderson's theorem states that if the numerical range W(A) of an n-by-n matrix A is contained in the unit disk Dâ¾ and intersects with the unit circle at more than n points, then W(A)=Dâ¾. An analogue of this result for compact A in an infinite dimensional setting was established by Gau and Wu. We consider here the case of A being the sum of a normal and compact operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Riddhick Birbonshi, Ilya M. Spitkovsky, P.D. Srivastava,