New York Journal of Mathematics
Volume 22 (2016) 199-207

  

Ulaş Yamancı and Mehmet Gürdal

Statistical convergence and operators on Fock space

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Published: February 22, 2016
Keywords: Berezin symbol, Compact operator, Statistical convergence, Discrete statistical Borel convergence, Fock space
Subject: 47B32, 40D09

Abstract
In this paper, we introduce the notion of discrete statistical Borel convergence. Also, we give necessary and sufficient condition under which a series with bounded sequence of complex numbers is discrete statistically Borel convergent. Moreover, we present in terms of Berezin symbols some characterization Schatten-von Neumann class operators.

Acknowledgements

This work is supported by TUBA through Young Scientist Award Program (TUBA-GEBIP/2015).


Author information

Ulaş Yamancı:
Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey
ulasyamanci@sdu.edu.tr

Mehmet Gürdal:
Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey
gurdalmehmet@sdu.edu.tr