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Weighted Hardy Spaces Over the Unit Ball: The Freely Noncommutative and Commutative Settings Read chapter Read first chapter

2024 | OriginalPaper | Chapter

Toeplitz Operator with a Finite Number of Horizontal Symbols Acting on the Poly-Fock Spaces

Authors : Armando Sánchez-Nungaray, Carlos González-Flores, Miguel Antonio Morales-Ramos, María del Rosario Ramírez-Mora

Published in: Operator and Matrix Theory, Function Spaces, and Applications

Publisher: Springer Nature Switzerland

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Abstract

We study the \(C^*\)-algebra generated by Toeplitz operators with extended horizontal symbols acting on the Poly-Fock spaces of the complex plane. We show that this \(C^*\)-algebra coincides with the algebra generated by a finite number of Toeplitz operators with horizontal symbols, without the need for the explicit calculation of the spectral functions.

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previous chapter On the Dual Representation of the Congruence Kernels and the Related Delsarte Type Transmutations of Multidimensional Differential Operators
next chapter On Abstract Spectral Constants
Literature
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Metadata
Title
Toeplitz Operator with a Finite Number of Horizontal Symbols Acting on the Poly-Fock Spaces
Authors
Armando Sánchez-Nungaray
Carlos González-Flores
Miguel Antonio Morales-Ramos
María del Rosario Ramírez-Mora
Copyright Year
2024
Book
Operator and Matrix Theory, Function Spaces, and Applications

Print ISBN: 978-3-031-50612-3

Electronic ISBN: 978-3-031-50613-0

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50613-0_14

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