u tau-convergence in locally solid vector lattices
POSITIVITY, cilt.22, sa.4, ss.1065-1080, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 4
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s11117-018-0559-4
- Dergi Adı: POSITIVITY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1065-1080
- Anahtar Kelimeler: Banach lattice, Vector lattice, ut-convergence, ut-topology, uo-convergence, un-convergence, un-topology, UNBOUNDED ORDER CONVERGENCE, BANACH-LATTICES
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
Let be a net in a locally solid vector lattice ; we say that is unbounded -convergent to a vector if for all . In this paper, we study general properties of unbounded -convergence (shortly -convergence). -convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. We introduce -topology and briefly study metrizability and completeness of this topology.