Decomposable embeddings, complete trajectories, and invariant subspaces

Ralph deLaubenfels; Phóng Vũ

Studia Mathematica (1996)

  • Volume: 119, Issue: 1, page 65-76
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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deLaubenfels, Ralph, and Vũ, Phóng. "Decomposable embeddings, complete trajectories, and invariant subspaces." Studia Mathematica 119.1 (1996): 65-76. <http://eudml.org/doc/216286>.

@article{deLaubenfels1996,
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.},
author = {deLaubenfels, Ralph, Vũ, Phóng},
journal = {Studia Mathematica},
keywords = {closed nontrivial invariant subspaces; decomposable operators; non-quasi-analytic complete trajectories; bounded semigroups},
language = {eng},
number = {1},
pages = {65-76},
title = {Decomposable embeddings, complete trajectories, and invariant subspaces},
url = {http://eudml.org/doc/216286},
volume = {119},
year = {1996},
}

TY - JOUR
AU - deLaubenfels, Ralph
AU - Vũ, Phóng
TI - Decomposable embeddings, complete trajectories, and invariant subspaces
JO - Studia Mathematica
PY - 1996
VL - 119
IS - 1
SP - 65
EP - 76
AB - 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.
LA - eng
KW - closed nontrivial invariant subspaces; decomposable operators; non-quasi-analytic complete trajectories; bounded semigroups
UR - http://eudml.org/doc/216286
ER -

References

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