On the structure of the set of invariant subspaces for a linear mapping
Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 11-19
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For a linear transformation of a finite dimensional space the topological structure of the set of its invariant subspaces is considered. The number of connected components of this set is found. It is shown that every component has a structure of a fibre bundle.
@article{TIMB_2006_14_2_a1,
author = {A. B. Antonevich and C. Doli\'canin and S. Re\v{s}i\'c},
title = {On the structure of the set of invariant subspaces for a linear mapping},
journal = {Trudy Instituta matematiki},
pages = {11--19},
publisher = {mathdoc},
volume = {14},
number = {2},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a1/}
}
TY - JOUR AU - A. B. Antonevich AU - C. Dolićanin AU - S. Rešić TI - On the structure of the set of invariant subspaces for a linear mapping JO - Trudy Instituta matematiki PY - 2006 SP - 11 EP - 19 VL - 14 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a1/ LA - ru ID - TIMB_2006_14_2_a1 ER -
A. B. Antonevich; C. Dolićanin; S. Rešić. On the structure of the set of invariant subspaces for a linear mapping. Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 11-19. http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a1/