A class of tridiagonal operators associated to some subshifts

• Autorzy: Christian Hernández-Becerra , Benjamín A. Itzá-Ortiz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Tridiagonal operators; Random operators; Subshifts

Kategorie tematyczne

• 47A12: Numerical range, numerical radius
• 37B10: Symbolic dynamics
• 47B36: Jacobi (tridiagonal) operators (matrices) and generalizations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 352-360

Daty

wydano

2016-01-01

otrzymano

2015-09-26

zaakceptowano

2016-05-04

online

2016-06-09

Twórcy

autor

Christian Hernández-Becerra

• Centro de Investigación en Matemáticas, Universidad Autónoma del Estado de Hidalgo, Pachuca de Soto, Hidalgo, 42184,,

autor

Benjamín A. Itzá-Ortiz

• Centro de Investigación en Matemáticas, Universidad Autónoma del Estado de Hidalgo, Pachuca de Soto, Hidalgo, 42184,,

Identyfikatory

DOI

10.1515/math-2016-0031