On Basisity Problem in the Spaces l(A)(p) (D), 1 <= P < infinity
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.32, sa.1, ss.59-64, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 1
- Basım Tarihi: 2011
- Doi Numarası: 10.1080/01630563.2010.528569
- Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.59-64
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Let V denote a Volterra integration operator, acting in the space [image omitted] of analytic functions [image omitted] for which [image omitted] by [image omitted] Using the Duhamel product method, it is shown that for any positive integer k the sequence {(kn)!Vknf}n epsilon 0 is a basic sequence in [image omitted] equivalent to the basis [image omitted] if and only if f(0)0.