Geodesic
Lower Bound of the Upper Topological Limit of a Sequence of Subspaces
Journal of convex analysis, Tome 27 (2020) no. 1, pp. 49-51
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A new short proof of the following assertion is presented. Given an integer k and a sequence of closed linear subspaces of a Banach space, assume that the codimension of each subspace does not exceed k. Then the upper topological limit of this sequence contains a closed linear subspace with codimension not exceeding k.
Classification : 46B20
Mots-clés : Sequence of subspaces, upper topological limit, lower bound 
@article{JCA_2020_27_1_JCA_2020_27_1_a4,
     author = {A. V. Arutyunov},
     title = {Lower {Bound} of the {Upper} {Topological} {Limit} of a {Sequence} of {Subspaces}},
     journal = {Journal of convex analysis},
     pages = {49--51},
     year = {2020},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_1_JCA_2020_27_1_a4/}
}
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A. V. Arutyunov. Lower Bound of the Upper Topological Limit of a Sequence of Subspaces. Journal of convex analysis, Tome 27 (2020) no. 1, pp. 49-51. http://geodesic.mathdoc.fr/item/JCA_2020_27_1_JCA_2020_27_1_a4/