On Cesàro summability of vector valued multiplier spaces and operator valued series
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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