Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators

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.

18 pages, continues Part I in arXiv:1204.1033v3, minor updates, final version

References in corpus (1)

• Coherent state quantization of paragrassmann algebras

Cited by in corpus (2)

• Coherent States for the Manin Plane via Toeplitz Quantization
• A Reproducing Kernel and Toeplitz Operators in the Quantum Plane