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ArticleOriginal scientific text

Title

Four characterizations of scalar-type operators with spectrum in a half-line

Authors 1

Affiliations

  1. Fachbereich Mathematik, Universität Kaiserslautern Erwin-Schrödinger-Str., 67663 Kaiserslautern, Germany

Abstract

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.

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Studia Mathematica
1997/122/1
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Pages:
39-54
Main language of publication
English
Received
1995-11-06
Accepted
1996-03-04
Published
1997
Exact and natural sciences