1205.5493 (Stephen Bruce Sontz)

Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators    [PDF]

Stephen Bruce Sontz

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.

View original: http://arxiv.org/abs/1205.5493