Slowly oscillating continuity in abstract metric spaces
Filomat, cilt.27, sa.5, ss.925-930, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 5
- Basım Tarihi: 2013
- Doi Numarası: 10.2298/fil1305925c
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.925-930
- Anahtar Kelimeler: Cone metric, Summability, Total boundedness, Uniform continuity
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we investigate slowly oscillating continuity in cone metric spaces. It turns out that the set of slowly oscillating continuous functions is equal to the set of uniformly continuous functions on a slowly oscillating compact subset of a topological vector space valued cone metric space.