Decomposable embeddings, complete trajectories, and invariant subspaces
Studia Mathematica, Tome 119 (1996) no. 1, pp. 65-76
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_119_1_65_76,
author = {Ralph deLaubenfels and V\~{u} Qu\^oc Ph\'ong},
title = {Decomposable embeddings, complete trajectories, and invariant subspaces},
journal = {Studia Mathematica},
pages = {65--76},
publisher = {mathdoc},
volume = {119},
number = {1},
year = {1996},
doi = {10.4064/sm-119-1-65-76},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-119-1-65-76/}
}
TY - JOUR AU - Ralph deLaubenfels AU - Vũ Quôc Phóng TI - Decomposable embeddings, complete trajectories, and invariant subspaces JO - Studia Mathematica PY - 1996 SP - 65 EP - 76 VL - 119 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-119-1-65-76/ DO - 10.4064/sm-119-1-65-76 LA - en ID - 10_4064_sm_119_1_65_76 ER -
%0 Journal Article %A Ralph deLaubenfels %A Vũ Quôc Phóng %T Decomposable embeddings, complete trajectories, and invariant subspaces %J Studia Mathematica %D 1996 %P 65-76 %V 119 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-119-1-65-76/ %R 10.4064/sm-119-1-65-76 %G en %F 10_4064_sm_119_1_65_76
Ralph deLaubenfels; Vũ Quôc Phóng. Decomposable embeddings, complete trajectories, and invariant subspaces. Studia Mathematica, Tome 119 (1996) no. 1, pp. 65-76. doi: 10.4064/sm-119-1-65-76
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