Recurrent Linear Operators

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

Journal Article | Published | English

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Abstract
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.
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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.
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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