Bulletin of the Belgian Mathematical Society - Simon Stevin

Cyclic Convolution Operators on the Hardy Spaces

K. Hedayatian and M. Faghih-Ahmadi

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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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 22, Number 2 (2015), 291-298.

Dates
First available in Project Euclid: 28 May 2015

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1432840865

Digital Object Identifier
doi:10.36045/bbms/1432840865

Mathematical Reviews number (MathSciNet)
MR3351043

Zentralblatt MATH identifier
1321.47014

Subjects
Primary: 47A16: Cyclic vectors, hypercyclic and chaotic operators 47B38: Operators on function spaces (general) 46E10: Topological linear spaces of continuous, differentiable or analytic functions

Keywords
cyclic convolution operators Hardy spaces

Citation

Hedayatian, K.; Faghih-Ahmadi, M. Cyclic Convolution Operators on the Hardy Spaces. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 2, 291--298. doi:10.36045/bbms/1432840865. https://projecteuclid.org/euclid.bbms/1432840865


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