Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators
funct-an
2008-02-03 v2 Operator Algebras
Abstract
We extend the results of our previous paper "C*-algebras and numerical linear algebra" to cover the case of "unilateral" sections. This situation bears a close resemblance to the case of Toeplitz operators on Hardy spaces, in spite of the fact that the operators here are far from Toeplitz operators. In particular, there is a short exact sequence 0 --> K --> A --> B --> 0 whose properties are essential to the problem of computing the spectra of self adjoint operators.
Keywords
Cite
@article{arxiv.funct-an/9211003,
title = {Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators},
author = {William Arveson},
journal= {arXiv preprint arXiv:funct-an/9211003},
year = {2008}
}
Comments
12 pages, AMS-TeX 2.1