Open Access
2014 Common cyclic vectors for diagonal operators on the space of entire functions
Steven M. Seubert
Rocky Mountain J. Math. 44(1): 269-288 (2014). DOI: 10.1216/RMJ-2014-44-1-269

Abstract

In this paper, a unicity theorem for Borel series is obtained and used to show that the collection of cyclic operators acting on the space of entire functions with non-dense eigenvalues and having the monomials $z^n$ as eigenvectors has a dense set of common cyclic vectors.

Citation

Download Citation

Steven M. Seubert. "Common cyclic vectors for diagonal operators on the space of entire functions." Rocky Mountain J. Math. 44 (1) 269 - 288, 2014. https://doi.org/10.1216/RMJ-2014-44-1-269

Information

Published: 2014
First available in Project Euclid: 2 June 2014

zbMATH: 1295.30062
MathSciNet: MR3216021
Digital Object Identifier: 10.1216/RMJ-2014-44-1-269

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 1 • 2014
Back to Top