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 \cite{yy2} 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.
Approximation property Dunford-Pettis property Fibonacci sequence spaces Radon-Riesz property Vector-Valued sequence spaces
Birincil Dil | İngilizce |
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Konular | Temel Matematik (Diğer) |
Bölüm | Articles |
Yazarlar | |
Erken Görünüm Tarihi | 5 Haziran 2024 |
Yayımlanma Tarihi | |
Gönderilme Tarihi | 26 Şubat 2024 |
Kabul Tarihi | 6 Mayıs 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 2 |
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