ON BOREL CONVERGENCE OF DOUBLE SEQUENCES


YAMANCI U.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, ss.1289-1293, 2019 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 68 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.31801/cfsuasmas.425391
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1289-1293

Özet

In this paper, we introduce the concept of (Ber)-convergence of bounded double sequences in the Fock space F (C-2). 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 {x(ij)}(i,j=0)(infinity) is regularly convergent to x, then