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

Carlos González-Flores | Zendy; Josué Ramírez-Ortega | Zendy; Armando Sánchez-Nungaray | Zendy

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

Author(s) -

Carlos González-Flores,

Josué Ramírez-Ortega,

Armando Sánchez-Nungaray

Publication year - 2012

Publication title -

journal of mathematics research

Language(s) - English

Resource type - Journals

eISSN - 1916-9809

pISSN - 1916-9795

DOI - 10.5539/jmr.v4n4p51

Subject(s) - toeplitz matrix , mathematics , toeplitz operator , dimension (graph theory) , homogeneous , operator (biology) , bergman space , pure mathematics , space (punctuation) , algebra over a field , mathematical analysis , combinatorics , computer science , biochemistry , chemistry , repressor , transcription factor , bounded function , gene , operating system

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

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