Email this article A Moment Condition and Non-synthetic Diagonalizable Operators on the Space of Functions Analytic on the Unit Disk
- Authors: Seubert S.M.1
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Affiliations:
- Bowling Green State University
- Issue: Vol 54, No 1 (2019)
- Pages: 1-7
- Section: Differential Equations
- URL: https://journal-vniispk.ru/1068-3623/article/view/228270
- DOI: https://doi.org/10.3103/S1068362319010011
- ID: 228270
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Abstract
Examples are given of (continuous, linear) operators on the space of functions analytic on the open unit disk in the complex plane having the monomials as eigenvectors, but which fail spectral synthesis (that is, which have closed invariant subspaces which are not the closed linear span of any collection of eigenvectors).
About the authors
S. M. Seubert
Bowling Green State University
Author for correspondence.
Email: sseuber@bgsu.edu
United States, Bowling Green, OH
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