ON BOREL CONVERGENCE OF DOUBLE SEQUENCES

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YAMANCI U.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.68, no.2, pp.1289-1293, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 68 Issue: 2
• Publication Date: 2019
• Doi Number: 10.31801/cfsuasmas.425391
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.1289-1293
• Süleyman Demirel University Affiliated: Yes

Abstract

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