Operator ideal of s-type operators using weighted mean sequence space

ERDOĞAN E., KARAKAYA V.

CARPATHIAN JOURNAL OF MATHEMATICS, cilt.33, sa.3, ss.311-318, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2017
  • Dergi Adı: CARPATHIAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.311-318
  • Marmara Üniversitesi Adresli: Evet

Özet

We introduce a different class of s-type operators by using the generalized weighted mean sequence space co (u, v), then it is shown that this new class of operators is a quasi-Banach operator ideal. Moreover, their injectivity and surjectivity are investigated according to sort of s-number. Finally, we proof that it is a dosed operator ideal under some conditions.