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

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.