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Normal Structure and Weakly Normal Structure of Orlicz Sequence Spaces

Normal Structure and Weakly Normal Structure of Orlicz Sequence Spaces

For a convex Orlicz function $\varphi :{{\bf {R}}_ + } \to {{\bf {R}}_ + } \cup \{ \infty \}$ and the associated Orlicz sequence space ${l_\varphi }$, we consider the following five properties: (1) ${l_\varphi }$ has a subspace isometric to ${l_1}$. (2) ${l_\varphi }$ is Schur. (3) ${l_\varphi }$ …