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arXiv · 1205.5493

Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators

Stephen Bruce Sontz
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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.

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Stephen Bruce Sontz. 2012-12-19. Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators. https://doi.org/10.7900/jot.2012may24.1969

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