Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators
Mathematical Physics
2017-03-10 v2 math.MP
Abstract
This paper continues the study of paragrassmann algebras begun in Part I with the definition and analysis of Toeplitz operators in the associated holomorphic Segal-Bargmann space. These are defined in the usual way as multiplication by a symbol followed by the projection defined by the reproducing kernel. These are non-trivial examples of spaces with Toeplitz operators whose symbols are not functions and which themselves are not spaces of functions.
Keywords
Cite
@article{arxiv.1205.5493,
title = {Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators},
author = {Stephen Bruce Sontz},
journal= {arXiv preprint arXiv:1205.5493},
year = {2017}
}
Comments
18 pages, continues Part I in arXiv:1204.1033v3, minor updates, final version