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

• Autorzy: Peter Vieten
• Języki publikacji: EN

Abstrakty

EN

$C^0$-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.

Kategorie tematyczne

• 47B40: Spectral operators, decomposable operators, well-bounded operators, etc.
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 122
• Numer: 1
• Strony: 39-54

Daty

wydano

1997

otrzymano

1995-11-06

poprawiono

1996-03-04

Twórcy

autor

Peter Vieten

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

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