Compactness of Matrix Operators on the Banach Space $\ell_p(T)$

Yıl 2018, Cilt: 1 Sayı: 1, 11 - 15, 14.12.2018

Merve İlkhan , Emrah Evren Kara

Öz

In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.

Anahtar Kelimeler

Compact operators, Hausdorff measure of non-compactness, Sequence spaces

Kaynakça

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