# Decomposable embeddings, complete trajectories, and invariant subspaces

Studia Mathematica (1996)

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

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topdeLaubenfels, 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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