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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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The inaccessible invariant subspaces of certain $C_{0}$ operators
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by John Daughtry PDF
Proc. Amer. Math. Soc. 78 (1980), 51-55 Request permission

Abstract:

We extend the Douglas-Pearcy characterization of the inaccessible invariant subspaces of an operator on a finite-dimensional Hilbert space to the cases of algebraic operators and certain ${C_0}$ operators on any Hilbert space. This characterization shows that the inaccessible invariant subspaces for such an operator form a lattice. In contrast to D. Herrero’s recent result on hyperinvariant subspaces, we show that quasisimilar operators in the classes under consideration have isomorphic lattices of inaccessible invariant subspaces.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 51-55
  • MSC: Primary 47A15; Secondary 47A20, 47A45
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0548083-X
  • MathSciNet review: 548083