Atıf İçin Kopyala
Dabboorasad Y. A., EMELYANOV E., Marabeh M. A. A.
POSITIVITY, cilt.22, sa.4, ss.1065-1080, 2018 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
22
Sayı:
4
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Basım Tarihi:
2018
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Doi Numarası:
10.1007/s11117-018-0559-4
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Dergi Adı:
POSITIVITY
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.1065-1080
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Anahtar Kelimeler:
Banach lattice, Vector lattice, ut-convergence, ut-topology, uo-convergence, un-convergence, un-topology, UNBOUNDED ORDER CONVERGENCE, BANACH-LATTICES
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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.