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

Peter Vieten

Studia Mathematica (1997)

  • Volume: 122, Issue: 1, page 39-54
  • ISSN: 0039-3223

Abstract

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-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.

How to cite

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Vieten, Peter. "Four characterizations of scalar-type operators with spectrum in a half-line." Studia Mathematica 122.1 (1997): 39-54. <http://eudml.org/doc/216359>.

@article{Vieten1997,
abstract = {$C^0$-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.},
author = {Vieten, Peter},
journal = {Studia Mathematica},
keywords = {-scalar-type spectrality criteria; scalar-type operators},
language = {eng},
number = {1},
pages = {39-54},
title = {Four characterizations of scalar-type operators with spectrum in a half-line},
url = {http://eudml.org/doc/216359},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Vieten, Peter
TI - Four characterizations of scalar-type operators with spectrum in a half-line
JO - Studia Mathematica
PY - 1997
VL - 122
IS - 1
SP - 39
EP - 54
AB - $C^0$-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.
LA - eng
KW - -scalar-type spectrality criteria; scalar-type operators
UR - http://eudml.org/doc/216359
ER -

References

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