Geodesic
Four characterizations of scalar-type operators with spectrum in a half-line
Studia Mathematica, Tome 122 (1997) no. 1, pp. 39-54

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

$C^0$-scalar-type spectrality criterions for operators A whose resolvent set contains the negative reals are provided. The criterions are given in terms of growth conditions on the resolvent of A and the semigroup generated by A. These criterions characterize scalar-type operators on the Banach space X if and only if X has no subspace isomorphic to the space of complex null-sequences.
DOI : 10.4064/sm-122-1-39-54

Peter Vieten 1

1 
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Peter Vieten. Four characterizations of scalar-type operators with spectrum in a half-line. Studia Mathematica, Tome 122 (1997) no. 1, pp. 39-54. doi: 10.4064/sm-122-1-39-54

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