Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2
ON BOREL CONVERGENCE OF DOUBLE SEQUENCES
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1289–1293
- DOI
- —
Abstract
Abstract. In this paper, we introduce the concept of (Ber)-convergence of bounded double sequences in the Fock space F C2 . We show that every (Ber)-convergent double sequence is Borel convergent. Namely, we prove the following theorem by using the Berezin symbol method: If the fxijg1 i;j=0 is regularly convergent to x, then lim k;t!1 e kt X1 i;j=0 xij k i t j i!j! =