A class of tridiagonal operators associated to some subshifts

Christian Hernández-Becerra, and Benjamín A. Itzá-Ortiz. "A class of tridiagonal operators associated to some subshifts." Open Mathematics 14.1 (2016): 352-360. <http://eudml.org/doc/281249>.

@article{ChristianHernández2016,
abstract = {We consider a class of tridiagonal operators induced by not necessary pseudoergodic biinfinite sequences. Using only elementary techniques we prove that the numerical range of such operators is contained in the convex hull of the union of the numerical ranges of the operators corresponding to the constant biinfinite sequences; whilst the other inclusion is shown to hold when the constant sequences belong to the subshift generated by the given biinfinite sequence. Applying recent results by S. N. Chandler-Wilde et al. and R. Hagger, which rely on limit operator techniques, we are able to provide more general results although the closure of the numerical range needs to be taken.},
author = {Christian Hernández-Becerra, Benjamín A. Itzá-Ortiz},
journal = {Open Mathematics},
keywords = {Tridiagonal operators; Random operators; Subshifts; tridiagonal operators; random operators; subshifts},
language = {eng},
number = {1},
pages = {352-360},
title = {A class of tridiagonal operators associated to some subshifts},
url = {http://eudml.org/doc/281249},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Christian Hernández-Becerra
AU - Benjamín A. Itzá-Ortiz
TI - A class of tridiagonal operators associated to some subshifts
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 352
EP - 360
AB - We consider a class of tridiagonal operators induced by not necessary pseudoergodic biinfinite sequences. Using only elementary techniques we prove that the numerical range of such operators is contained in the convex hull of the union of the numerical ranges of the operators corresponding to the constant biinfinite sequences; whilst the other inclusion is shown to hold when the constant sequences belong to the subshift generated by the given biinfinite sequence. Applying recent results by S. N. Chandler-Wilde et al. and R. Hagger, which rely on limit operator techniques, we are able to provide more general results although the closure of the numerical range needs to be taken.
LA - eng
KW - Tridiagonal operators; Random operators; Subshifts; tridiagonal operators; random operators; subshifts
UR - http://eudml.org/doc/281249
ER -