A Subnormal Operator and its Dual
Keyword(s):
The Real
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AbstractIt 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.
2001 ◽
Vol 192
(4)
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pp. 565-576
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1986 ◽
Vol 01
(04)
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pp. 997-1007
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1980 ◽
Vol 29
(2)
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pp. 177-205
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1987 ◽
Vol 7
(2)
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pp. 155-160
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