Weakly unconditionally Cauchy series and Fibonacci sequence spaces


KAMA R., ALTAY B.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1186/s13660-017-1407-y
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Fibonacci sequence spaces, weakly unconditionally Cauchy series, completeness, barreledness, MATRIX
  • İnönü Üniversitesi Adresli: Evet

Özet

We study new sequence spaces associated to sequences in normed spaces and the band matrix (F) over cap defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces. Also, we characterize the barreledness of a normed space via weakly* unconditionally Cauchy series in X*.