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Figure from:Convolution in dual Cesàro sequence spaces

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Figure 2

Figure 2

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The second term in the right-side of (5.5) is finite because of (5.1). Regarding the first term in the right-side of (5.5), note that
The second term in the right-side of (5.5) is finite because of (5.1). Regarding the first term in the right-side of (5.5), note that
The bounded multiplier test ensures the unconditionality of the basis. Theorem 5.2. Let p € [1,00). Then dppNl' C W(dy) with a continuous inclusion.
The bounded multiplier test ensures the unconditionality of the basis. Theorem 5.2. Let p € [1,00). Then dppNl' C W(dy) with a continuous inclusion.