Banach spaces l(p) (BC(N)) with the *- norm (parallel to)double over dot . (parallel to)double over dot(2,lp(BC(N))) and some properties

Sager N., Sağır Duyar B.

TBILISI MATHEMATICAL JOURNAL, cilt.14, sa.2, ss.65-81, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.32513/tmj/19322008123
  • Dergi Adı: TBILISI MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.65-81
  • Anahtar Kelimeler: *-calculus, *-bicomplex number, completeness, Minkowski's inequality
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, we construct vector spaces l(p) (BC(N)) of absolutely p- summable *-bicomplex sequences with the *-norm (parallel to)over double dot . (parallel to)over double dot(2,lp(BC(N))) over the field C(N). Also, we show that some inclusion relations hold and these vector spaces are Banach spaces by using Minkowski's inequality in BC(N) with respect to (parallel to)over double dot . (parallel to)over double dot(2).