Recurrent Linear Operators

Costakis G, Manoussos A, Parissis I (2014)
Complex Analysis and Operator Theory 8(8): 1601-1643.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Costakis, George; Manoussos, AntoniosUniBi; Parissis, Ioannis
Einrichtung
SFB 701 Spectral Structures and Topological Methods in Mathematics
Fakultät für Mathematik
Abstract / Bemerkung
We study the notion of recurrence and some of its variations for linearoperators acting on Banach spaces. We characterize recurrence for severalclasses of linear operators such as weighted shifts, composition operators andmultiplication operators on classical Banach spaces. We show that on separablecomplex Hilbert spaces the study of recurrent operators reduces, in many cases,to the study of unitary operators. Finally, we study the notion of productrecurrence and state some relevant open questions.
Erscheinungsjahr
2014
Zeitschriftentitel
Complex Analysis and Operator Theory
Band
8
Ausgabe
8
Seite(n)
1601-1643
ISSN
1661-8254
eISSN
1661-8262
Page URI
https://pub.uni-bielefeld.de/record/2606461

Zitieren

Costakis G, Manoussos A, Parissis I. Recurrent Linear Operators. Complex Analysis and Operator Theory. 2014;8(8):1601-1643.
Costakis, G., Manoussos, A., & Parissis, I. (2014). Recurrent Linear Operators. Complex Analysis and Operator Theory, 8(8), 1601-1643. doi:10.1007/s11785-013-0348-9
Costakis, George, Manoussos, Antonios, and Parissis, Ioannis. 2014. “Recurrent Linear Operators”. Complex Analysis and Operator Theory 8 (8): 1601-1643.
Costakis, G., Manoussos, A., and Parissis, I. (2014). Recurrent Linear Operators. Complex Analysis and Operator Theory 8, 1601-1643.
Costakis, G., Manoussos, A., & Parissis, I., 2014. Recurrent Linear Operators. Complex Analysis and Operator Theory, 8(8), p 1601-1643.
G. Costakis, A. Manoussos, and I. Parissis, “Recurrent Linear Operators”, Complex Analysis and Operator Theory, vol. 8, 2014, pp. 1601-1643.
Costakis, G., Manoussos, A., Parissis, I.: Recurrent Linear Operators. Complex Analysis and Operator Theory. 8, 1601-1643 (2014).
Costakis, George, Manoussos, Antonios, and Parissis, Ioannis. “Recurrent Linear Operators”. Complex Analysis and Operator Theory 8.8 (2014): 1601-1643.
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