On the Carleman classes of vectors of a scalar type spectral operator.
Markin, Marat V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Spectral decompositions in Banach spaces and the Hilbert transform”
On the Carleman classes of vectors of a scalar type spectral operator.
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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.