Spectral properties of the adjoint operator and applications.
Benalili, Mohammed, Lansari, Azzedine (2005)
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Benalili, Mohammed, Lansari, Azzedine (2005)
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.