Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 143-149
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N. G. Makarov. Point unitary spectrum of almost unitary operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 143-149. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a15/
@article{ZNSL_1983_126_a15,
author = {N. G. Makarov},
title = {Point unitary spectrum of almost unitary operators},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {143--149},
year = {1983},
volume = {126},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a15/}
}
TY - JOUR
AU - N. G. Makarov
TI - Point unitary spectrum of almost unitary operators
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 143
EP - 149
VL - 126
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a15/
LA - ru
ID - ZNSL_1983_126_a15
ER -
%0 Journal Article
%A N. G. Makarov
%T Point unitary spectrum of almost unitary operators
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 143-149
%V 126
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a15/
%G ru
%F ZNSL_1983_126_a15
Let $E$ be a subset of the unit circle $\mathbb T$. There exists an almost unitary operator $L$ such that $E=\sigma_p(L)\cap\mathbb T$ if $E$ is a countable union of Carleson sets. (An operator $L$ is called almost unitary if it is a sum of unitary and nuclear operators).
