## Abstract A bounded linear operator __T__ on a Banach space __X__ is called hypercyclic if there exists a vector __x__ ∈ __X__ such that its orbit, {__T^n^x__ }, is dense in __X__. In this paper we show hypercyclic properties of the orbits of the Cesàro operator defined on different spaces. For i
Cesàro averaging operators
✍ Scribed by Stevo Stević
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 124 KB
- Volume
- 248-249
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We define a family of Cesàro operators $ {\cal C} ^{\vec \gamma} $ on the polydisc U^n^, and consider the question of its boundedness on some spaces of analytic functions.
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