Toeplitz Operators on the Generalized Fock Space in Symmetrically Normed Ideals

Adam Orenstein

Toeplitz Operators on the Generalized Fock Space in Symmetrically Normed Ideals

Functional Analysis 2014-12-01 v2

Authors: Adam Orenstein

Abstract

In this paper we will give necessary and sufficient conditions for the operator $T_\nu^s$ to be in the symmetrically normed ideal $\mathcal{C}_\Phi$ for an arbitrary symmetric norming function $\Phi$ where $T_\nu$ is the Toeplitz operator on the generalized Fock Space (also known as the generalized Bargmann-Fock space) with a positive measure symbol $\nu$ and $0<s\leq 1$ .

Keywords

toeplitz operators operator theory

Cite

@article{arxiv.1410.6083,
  title  = {Toeplitz Operators on the Generalized Fock Space in Symmetrically Normed Ideals},
  author = {Adam Orenstein},
  journal= {arXiv preprint arXiv:1410.6083},
  year   = {2014}
}

Comments

This paper has been withdrawn by the author since mistakes were found in a reference

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