Invariant subspaces for algebras of subnormal operators. II

Thomson, James E.

doi:10.1090/S0002-9939-1988-0964852-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Invariant subspaces for algebras of subnormal operators. II
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by James E. Thomson PDF

Proc. Amer. Math. Soc. 104 (1988), 756-758 Request permission

Abstract:

We continue our study of hyperinvariant subspaces for rationally cyclic subnormal operators. We establish a connection between hyperinvariant subspaces and weak-star continuous point evaluations on the commutant.

References

John B. Conway, Subnormal operators, Research Notes in Mathematics, vol. 51, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1981. MR 634507
James E. Thomson, Invariant subspaces for algebras of subnormal operators, Proc. Amer. Math. Soc. 96 (1986), no. 3, 462–464. MR 822440, DOI 10.1090/S0002-9939-1986-0822440-1