Open Access
may 2015 Cyclic Convolution Operators on the Hardy Spaces
K. Hedayatian, M. Faghih-Ahmadi
Bull. Belg. Math. Soc. Simon Stevin 22(2): 291-298 (may 2015). DOI: 10.36045/bbms/1432840865

Abstract

Using Banach algebra structure of the Hardy space, we describe all finite codimensional invariant subspaces of a cyclic convolution operator on the Hardy space $H^p$ of the unit disc for $1 \leq p \leq \infty$. We also observe that every operator in the commutant of such operators is not weakly supercyclic.

Citation

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K. Hedayatian. M. Faghih-Ahmadi. "Cyclic Convolution Operators on the Hardy Spaces." Bull. Belg. Math. Soc. Simon Stevin 22 (2) 291 - 298, may 2015. https://doi.org/10.36045/bbms/1432840865

Information

Published: may 2015
First available in Project Euclid: 28 May 2015

zbMATH: 1321.47014
MathSciNet: MR3351043
Digital Object Identifier: 10.36045/bbms/1432840865

Subjects:
Primary: 46E10 , 47A16 , 47B38

Keywords: cyclic convolution operators , Hardy spaces

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 2 • may 2015
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