A Note on the Differential Operator on Weighted Fock Spaces

Authors

  • Beyaz Başak Eskişehirli Department of Mathematics, Science Faculty. Istanbul University, Turkey

DOI:

https://doi.org/10.7546/CRABS.2023.07.01

Keywords:

Fock spaces, differential operator, operator algebra, C*-algebra

Abstract

The differential operator Df = f′ is a canonical example of unbounded operators in many Banach spaces. In this study, we identify a class of weighted Fock spaces in which the differential operator is bounded. Then, we obtain some properties of the differential operator on these spaces in terms of its C*-algebraic structure in the one and two-dimensional cases.

Author Biography

Beyaz Başak Eskişehirli, Department of Mathematics, Science Faculty. Istanbul University, Turkey

Mailing Address:
Department of Mathematics,
Science Faculty.
Istanbul University
34134, Istanbul, Turkey

E-mail: basakoca@istanbul.edu.tr

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Published

31-07-2023

How to Cite

[1]
B. Eskişehirli, “A Note on the Differential Operator on Weighted Fock Spaces”, C. R. Acad. Bulg. Sci. , vol. 76, no. 7, pp. 979–989, Jul. 2023.

Issue

Section

Mathematics