The Invariant Subspace Lattice of a Linear Transformation
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 810-822
Voir la notice de l'article provenant de la source Cambridge University Press
The purpose of this paper is to study the lattice of invariant subspaces of a linear transformation on a finite-dimensional vector space over an arbitrary field. Among the topics discussed are structure theorems for such lattices, implications between linear-algebraic properties and lattice-theoretic properties, nilpotent transformations, and the conditions for the isomorphism of two such lattices. These topics correspond roughly to §§2, 3, 4, and 5 respectively.
Brickman, L.; Fillmore, P. A. The Invariant Subspace Lattice of a Linear Transformation. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 810-822. doi: 10.4153/CJM-1967-075-4
@article{10_4153_CJM_1967_075_4,
author = {Brickman, L. and Fillmore, P. A.},
title = {The {Invariant} {Subspace} {Lattice} of a {Linear} {Transformation}},
journal = {Canadian journal of mathematics},
pages = {810--822},
year = {1967},
volume = {19},
number = {1},
doi = {10.4153/CJM-1967-075-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-075-4/}
}
TY - JOUR AU - Brickman, L. AU - Fillmore, P. A. TI - The Invariant Subspace Lattice of a Linear Transformation JO - Canadian journal of mathematics PY - 1967 SP - 810 EP - 822 VL - 19 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-075-4/ DO - 10.4153/CJM-1967-075-4 ID - 10_4153_CJM_1967_075_4 ER -
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