Geodesic
A Subnormal Operator and its Dual
Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 381-396

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that the essential spectrum of a cyclic, self-dual, subnormal operator is symmetric with respect to the real axis. The study of the structure of a cyclic, irreducible, self-dual, subnormal operator is reduced to the operator Sμ with bpeμ = D. Necessary and sufficient conditions for a cyclic subnormal operator Sμ with bpeμ = D to be self-dual are obtained under the additional assumption that the measure on the unit circle is log-integrable. Finally, an approach to a general cyclic, self-dual, subnormal operator is discussed.
DOI : 10.4153/CJM-1996-021-1
Mots-clés : 42B20, 30H05 
Olin, Robert F.; Yang, Liming. A Subnormal Operator and its Dual. Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 381-396. doi: 10.4153/CJM-1996-021-1
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