Orbits of invariant subspaces of algebraic linear operators

Let E be a vector space over a field K, and A an algebraic K-linear operator on E. We describe the orbits under the action of the commutant of A and of the group of the invertible elements of the commutant of A on the lattice of A-invariant subspaces.

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Veröffentlicht in:Linear algebra and its applications Jg. 225; S. 13 - 22
Hauptverfasser: Benabdallah, Khalid, Charles, Bernard
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.08.1995
ISSN:0024-3795, 1873-1856
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Abstract Let E be a vector space over a field K, and A an algebraic K-linear operator on E. We describe the orbits under the action of the commutant of A and of the group of the invertible elements of the commutant of A on the lattice of A-invariant subspaces.
AbstractList Let E be a vector space over a field K, and A an algebraic K-linear operator on E. We describe the orbits under the action of the commutant of A and of the group of the invertible elements of the commutant of A on the lattice of A-invariant subspaces.
Author Charles, Bernard
Benabdallah, Khalid
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  surname: Charles
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  organization: Institut de Mathématiques Faculté des Sciences Place Eugène Bataillon 34095 Montpellier, France
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crossref_primary_10_1016_j_laa_2014_03_036
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Cites_doi 10.1016/0024-3795(91)90217-K
10.1016/0024-3795(71)90025-5
10.1016/0021-8693(79)90330-2
10.1016/0024-3795(90)90119-W
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Barraa (10.1016/0024-3795(93)00302-G_BIB2) 1991; 153
Richman (10.1016/0024-3795(93)00302-G_BIB7) 1979; 56
Barraa (10.1016/0024-3795(93)00302-G_BIB1) 1990; 135
Fuchs (10.1016/0024-3795(93)00302-G_BIB3) 1973; vols. I, II
Halmos (10.1016/0024-3795(93)00302-G_BIB4) 1971; 4
Hoffman (10.1016/0024-3795(93)00302-G_BIB5) 1961
Hunter (10.1016/0024-3795(93)00302-G_BIB6) 1984
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