On Cesàro summability of vector valued multiplier spaces and operator valued series
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In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and Cesàro convergence. Also, we obtain a new version of the Orlicz–Pettis Theorem by means of Cesàro summability.
KeywordsMultiplier convergent series Cesàro sequence spaces Summing operator Compact operators Orlicz–Pettis theorem
Mathematics Subject ClassificationPrimary: 46B15 Secondary: 40A05 46B45
The authors wish to thank the referee for his/her valuable suggestions, which improved the paper considerably.
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