Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces

Autor: Armando Sánchez-Nungaray, Jorge Luis Arroyo-Neri, Carlos González-Flores, Raquiel R. López-Martínez
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Function Spaces, Vol 2018 (2018)
ISSN: 2314-8888
2314-8896
Popis: We describe the C⁎-algebra generated by the Toeplitz operators acting on each poly-Fock space of the complex plane C with the Gaussian measure, where the symbols are bounded functions depending only on x=Re z and have limit values at y=-∞ and y=∞. The C⁎ algebra generated with this kind of symbols is isomorphic to the C⁎-algebra functions on extended reals with values on the matrices of dimension n×n, and the limits at y=-∞ and y=∞ are scalar multiples of the identity matrix.
Databáze: OpenAIRE
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