Localized SVEP, Property (b) and Property (ab)
Property ( b ) for a bounded linear operator on a Banach space X means that the points λ of the approximate point spectrum for which λ I – T is upper semi-Weyl are exactly the spectral points λ for which λ I – T is Browder. In this paper we shall give several characterizations of operators T for whi...
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| Veröffentlicht in: | Mediterranean journal of mathematics 2013-11, Vol.10 (4), p.1965-1978 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Property (
b
) for a bounded linear operator
on a Banach space
X
means that the points λ of the approximate point spectrum for which λ
I
–
T
is upper semi-Weyl are exactly the spectral points λ for which λ
I
–
T
is Browder. In this paper we shall give several characterizations of operators
T
for which
T
, or its dual
T
*, has property (
b
). We also investigate the property (
ab
) which is closely related to property (
b
). |
|---|---|
| ISSN: | 1660-5446 1660-5454 |
| DOI: | 10.1007/s00009-013-0257-1 |