The commutant of an operator with bounded conjugation orbits and C₀‒contractions

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The commutant of an operator with bounded conjugation orbits and C₀‒contractions

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Title: The commutant of an operator with bounded conjugation orbits and C₀‒contractions
Author: Zarrabi, Mohamed
Abstract: Let A be an invertible bounded linear operator on a complex Banach space, {A}′ the commutant of A and Bᴀ the set of all operators T such that 〖sup〗_(ₙ≥₀)∥AⁿTA⁻ⁿ ∥ < +∞. Equality {A}′ = Bᴀ was studied by many authors for differents classes of operators. In this paper we investigate a local version of this equality and the case where A is a C₀–contraction.
URI: http://hdl.handle.net/10662/10384
Date: 2012


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