On the characterization of scalar type spectral operators
Tom 184 / 2008
Studia Mathematica 184 (2008), 121-132 MSC: Primary 47B40; Secondary 47A10. DOI: 10.4064/sm184-2-2
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.