## Abstract We present simple proofs of sharp uniform boundedness results for sequences of Toeplitz matrices with variable coefficients. These proofs are based on Strichartz's method which reduces the problem of boundedness of operators “with variable coefficients” to the same problem for operators
Uniform Boundedness of Toeplitz Matrices with Variable Coefficients
✍ Scribed by Albrecht Böttcher; Sergei Grudsky
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2008
- Tongue
- English
- Weight
- 209 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
In this paper we derive second-order asymptotic results for matrices Matrices of the above form can be thought of as variable-coefficient Toeplitz matrices, or a discrete analogue of a pseudodifferential operator. Ideas from pseudodifferential operator theory are used in the proof.
There are many articles on symmetric tridiagonal Toeplitz and circulant systems. Such systems arise in areas including numerical methods for solving boundary value differential equations and in graph theory. These matrices can often be written as the product of bidiagonal matrices. In this article,