1Department of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland 2Department of Higher and Applied Mathematics National University of Trade and Economics Kiev, Ukraine
Studia Mathematica, Tome 184 (2008) no. 2, pp. 121-132
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.
Keywords:
paper concerned conditions guaranteeing bounded operator reflexive banach space scalar type spectral operator cases where spectrum operator lies real axis unit circle studied separately
Affiliations des auteurs :
P. A. Cojuhari 
1
;
A. M. Gomilko 
2
1
Department of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland
2
Department of Higher and Applied Mathematics National University of Trade and Economics Kiev, Ukraine
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P. A. Cojuhari; A. M. Gomilko. On the characterization of scalar type spectral operators. Studia Mathematica, Tome 184 (2008) no. 2, pp. 121-132. doi: 10.4064/sm184-2-2