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

Studia Mathematica (1997)

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

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topVieten, 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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