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Point spectra of Cesàro matrices

✍ Scribed by I.J. Maddox


Book ID
108047023
Publisher
Elsevier Science
Year
1989
Weight
221 KB
Volume
92
Category
Article
ISSN
1385-7258

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Orbits of Cesàro type operators
✍ F. León–Saavedra; A. Piqueras–Lerena; J. B. Seoane–Sepúlveda 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB

## 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