Systems of convergence and divergence in the spaces $C$ and $B$
Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 911-922
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An example is constructed of a complete orthonormalized system of functions which is a system of convergence for the space of continuous functions $C$ and a system of divergence for the space of bounded functions $B$. The example is constructed with the aid of orthogonalization of a basis in $C$.
@article{MZM_1973_13_6_a13,
author = {V. M. Veselov},
title = {Systems of convergence and divergence in the spaces $C$ and $B$},
journal = {Matemati\v{c}eskie zametki},
pages = {911--922},
year = {1973},
volume = {13},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a13/}
}
V. M. Veselov. Systems of convergence and divergence in the spaces $C$ and $B$. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 911-922. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a13/