INVARIANT SUBSPACES FOR SOME FAMILIES OF UNBOUNDED SUBNORMAL OPERATORS

INVARIANT SUBSPACES FOR SOME FAMILIES OF UNBOUNDED SUBNORMAL OPERATORS

Extending results and methods of Thomson and Trent, we prove the existence of non trivial quasi-invariant subspaces for subnormal families of unbounded operators having sufficiently rich domains. In some special cases, proper invariant subspaces are obtained.

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Veröffentlicht in:Glasgow mathematical journal 2003-01, Vol.45 (1), p.53-67
Hauptverfasser: ALBRECHT, E., VASILESCU, F.-H.
Format: Artikel
Sprache:eng
Schlagworte:
47A15
47B20
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Beschreibung
Zusammenfassung:Extending results and methods of Thomson and Trent, we prove the existence of non trivial quasi-invariant subspaces for subnormal families of unbounded operators having sufficiently rich domains. In some special cases, proper invariant subspaces are obtained.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089502008984