Four characterizations of scalar-type operators with spectrum in a half-line
Vieten, Peter
Studia Mathematica, Tome 122 (1997), p. 39-54 / Harvested from The Polish Digital Mathematics Library
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C0-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.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:216359 
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Vieten, Peter. Four characterizations of scalar-type operators with spectrum in a half-line. Studia Mathematica, Tome 122 (1997) pp. 39-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv122i1p39bwm/

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