Toeplitz Operators on the Super-sphere of Dimension $(2\mid 2)$

Carlos Gonzalez-Flores, Josue Ramirez Ortega, Armando Sanchez Nungaray

Abstract


In this paper we present the boundedness condition of the Toeplitz super-operators and we describe the quasi-Toeplitz operators over classical Bergman space with quasi-homogeneous  symbols. Finally, we proved that every even super-operator acting over the Bergman super-space  in the super-sphere can be written as a Toeplitz super-operator.

Full Text: PDF DOI: 10.5539/jmr.v4n4p51

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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