On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces
Communications in Advanced Mathematical Sciences, cilt.7, ss.80-87, 2024 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7
- Basım Tarihi: 2024
- Doi Numarası: 10.33434/cams.1442975
- Dergi Adı: Communications in Advanced Mathematical Sciences
- Derginin Tarandığı İndeksler: Directory of Open Access Journals
- Sayfa Sayıları: ss.80-87
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İnönü Üniversitesi Adresli: Evet
Özet
In this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms. Instead, we defined the concept of relative basis in [1] by generalizing the definition of a basis in Banach spaces. Using this definition, we have characterized certain important properties of vector-term Fibonacci sequence spaces, such as separability, Dunford-Pettis Property, approximation property, Radon-Riesz Property and Hahn-Banach extension property