Spectral properties of discrete weighted shift operators
Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 14-21
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Discrete weighted shift operators $B$ in the space $l_2(\mathbb{Z})$ of two-way sequences are considered.
Properties of $B-\lambda I$ for spectral values of $\lambda$ are described. In particular, conditions for
operator $B-\lambda I$ to be one-sided invertible are obtained.
@article{TIMB_2012_20_1_a1,
author = {A. B. Antonevich and A. A. Akhmatova},
title = {Spectral properties of discrete weighted shift operators},
journal = {Trudy Instituta matematiki},
pages = {14--21},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2012_20_1_a1/}
}
A. B. Antonevich; A. A. Akhmatova. Spectral properties of discrete weighted shift operators. Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 14-21. http://geodesic.mathdoc.fr/item/TIMB_2012_20_1_a1/