Multipliers and equivalences between Toeplitz kernels
Functional Analysis
2018-04-04 v4 Complex Variables
Abstract
Multipliers between kernels of Toeplitz operators are characterised in terms of test functions (so-called maximal vectors for the kernels); these maximal vectors may easily be parametrised in terms of inner and outer factorizations. Immediate applications to model spaces are derived. The case of surjective multipliers is also analysed. These ideas are applied to describing equivalences between two Toeplitz kernels.
Cite
@article{arxiv.1611.08429,
title = {Multipliers and equivalences between Toeplitz kernels},
author = {M. Cristina Camara and Jonathan R. Partington},
journal= {arXiv preprint arXiv:1611.08429},
year = {2018}
}
Comments
21 pages. Final revisions made