Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772424 | Journal of Functional Analysis | 2017 | 27 Pages |
Abstract
Some special Hilbert spaces are introduced to present the class of infinitesimal operators with complete minimal non-basis family of eigenvectors. The discrete Hardy inequality plays an important role in the proposed approach. The construction complements the results of G.Q. Xu et al. (2005) [28] and H. Zwart (2010) [30] on the Riesz basis property of eigenvectors (eigenspaces) of infinitesimal operators. Our results are extended to the case of operators on some Banach spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Grigory M. Sklyar, Vitalii Marchenko,