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ArticleOriginal scientific text

Title

Decomposable embeddings, complete trajectories, and invariant subspaces

Authors 1, 2

Affiliations

  1. Scientia Research Institute, P.O. Box 988, Athens, Ohio 45701, U.S.A.
  2. Mathematics Department, Ohio University, Athens, Ohio 45701, U.S.A.

Abstract

We produce closed nontrivial invariant subspaces for closed (possibly unbounded) linear operators, A, on a Banach space, that may be embedded between decomposable operators on spaces with weaker and stronger topologies. We show that this can be done under many conditions on orbits, including when both A and A* have nontrivial non-quasi-analytic complete trajectories, and when both A and A* generate bounded semigroups that are not stable.

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Studia Mathematica
1996/119/1
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Pages:
65-76
Main language of publication
English
Received
1995-10-20
Published
1996
Exact and natural sciences