Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 202-204
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F. A. Shamoyan. The description of closed ideals of algebra $\lambda^{(n)}_\omega$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 202-204. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a22/
@article{ZNSL_1983_126_a22,
author = {F. A. Shamoyan},
title = {The description of closed ideals of algebra~$\lambda^{(n)}_\omega$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {202--204},
year = {1983},
volume = {126},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a22/}
}
TY - JOUR
AU - F. A. Shamoyan
TI - The description of closed ideals of algebra $\lambda^{(n)}_\omega$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 202
EP - 204
VL - 126
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a22/
LA - ru
ID - ZNSL_1983_126_a22
ER -
%0 Journal Article
%A F. A. Shamoyan
%T The description of closed ideals of algebra $\lambda^{(n)}_\omega$
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 202-204
%V 126
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a22/
%G ru
%F ZNSL_1983_126_a22
It is proved that all ideals of the space $\lambda^{(n)}_\omega$ are standard in the following two cases: 1) $n\geqslant1$, $\omega$ is a non-decreasing function; $\omega(t)/t$ is a non-increasing function; 2) $n=0$ and there exists $\alpha$, $\alpha>0$, such that $\omega(t)=O(t^\alpha)$.
