On the Spectral Radius of Functional Operators
Matematičeskie zametki, Tome 100 (2016) no. 1, pp. 155-162
Voir la notice de l'article provenant de la source Math-Net.Ru
An estimate of the spectral radius of functional operators generated by operators of multiplication and shift operators in the space of continuous vector functions on the interval is given. It is assumed that shifts have fixed points only at both ends of the interval and belong to one type, i.e., they are either left or right shifts.
Keywords:
spectral radius, shift operator, functional operator, weighted Hölder space, weighted Lebesgue space, shift.
@article{MZM_2016_100_1_a11,
author = {A. P. Soldatov},
title = {On the {Spectral} {Radius} of {Functional} {Operators}},
journal = {Matemati\v{c}eskie zametki},
pages = {155--162},
publisher = {mathdoc},
volume = {100},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a11/}
}
A. P. Soldatov. On the Spectral Radius of Functional Operators. Matematičeskie zametki, Tome 100 (2016) no. 1, pp. 155-162. http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a11/