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Co-Toeplitz Quantization: A Simple Case

  • Stephen Bruce SontzEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The author has introduced in a recent paper a new class of operators, called co-Toeplitz operators, with symbols in a co-algebra. This is the categorical dual to Toeplitz operators which have symbols in an algebra. The mapping from a symbol to its co-Toeplitz operator gives a quantization scheme, called co-Toeplitz quantization. A new, quite simple particular case of co-Toeplitz quantization is introduced in this note. Examples are given in order to show some of its properties.

Keywords

Quantization co-Toeplitz operators co-algebras. 

Mathematics Subject Classification (2000)

Primary 81S99 Secondary 47B99 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Centro de Investigación en Matemáticas, A.C. (CIMAT) Jalisco s/n ValencianaGuanajuatoMexico

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