Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators

Details Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators

1992-11-23

arxiv.org/abs/funct-an/9211003v2

Mathematics

Operator Algebras

12 pages, AMS-TeX 2.1

Scientific paper

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.

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