Open AccessToeplitz 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