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The Imaginary Point Spectrum and Hypercyclicity
Authors:Samir EL Mourchid
Institution:(1) Departement de mathematiques faculte des sciences Semlalia, Marrakesh, Morocco
Abstract:Let A be a generator of a C0-semigroup T(·) on a separable Banach space. Under suitable conditions on the imaginary point spectrum of A, $\sigma_{p}(A)\cap i{\Bbb R},$ we show that T(·) is hypercyclic.
Keywords:
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