Multiplier Convergent Series is popular PDF and ePub book, written by Charles Swartz in 2009, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Multiplier Convergent Series can be Read Online from any device for your convenience.
Multiplier Convergent Series Book PDF Summary
If ? is a space of scalar-valued sequences, then a series ?j xj in a topological vector space X is ?-multiplier convergent if the series ?j=18 tjxj converges in X for every {tj} e?. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vector-valued measures. A number of versions of the OrliczOCoPettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical HahnOCoSchur theorem on the equivalence of weak and norm convergent series in ?1 are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers.
Detail Book of Multiplier Convergent Series PDF
- Author : Charles Swartz
- Release : 21 September 2024
- Publisher : World Scientific
- ISBN : 9789812833884
- Genre : Mathematics
- Total Page : 264 pages
- Language : English
- PDF File Size : 19,8 Mb
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