# A class of tridiagonal operators associated to some subshifts

Christian Hernández-Becerra; Benjamín A. Itzá-Ortiz

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 352-360
- ISSN: 2391-5455

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topChristian 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 -

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