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Multiplier convergent series /
If [symbol] is a space of scalar-valued sequences, then a series [symbol] xj in a topological vector space X is [symbol]-multiplier convergent if the series [symbol] tjxj converges in X for every [symbol]. This monograph studies properties of such series and gives applications to topics in locally c...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, N.J. :
World Scientific Pub.,
©2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Swartz, Charles, |d 1938- | |
| 245 | 1 | 0 | |a Multiplier convergent series / |c Charles Swartz. |
| 260 | |a Hackensack, N.J. : |b World Scientific Pub., |c ©2009. | ||
| 300 | |a 1 online resource (x, 253 pages) | ||
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| 504 | |a Includes bibliographical references (pages 245-249) and index. | ||
| 505 | 0 | |a Introduction -- Basic properties of multiplier convergent series -- Applications of multiplier convergent series -- The Orlicz-Pettis theorem -- Orlicz-Pettis theorems for the strong topology -- Orlicz-Pettis theorems for linear operators -- The Hahn-Schur theorem -- Spaces of multiplier convergent series and multipliers -- The Antosik interchange theorem -- Automatic continuity of matrix mappings -- Operator valued series and vector valued multipliers -- Orlicz-Pettis theorems for operator valued series -- Hahn-Schur theorems for operator valued series -- Automatic continuity for operator valued matrices. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a If [symbol] is a space of scalar-valued sequences, then a series [symbol] xj in a topological vector space X is [symbol]-multiplier convergent if the series [symbol] tjxj converges in X for every [symbol]. 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 Orlicz-Pettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical Hahn-Schur theorem on the equivalence of weak and norm convergent series in [symbol] are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Convergence. | |
| 650 | 0 | |a Multipliers (Mathematical analysis) | |
| 650 | 0 | |a Series, Arithmetic. | |
| 650 | 0 | |a Orlicz spaces. | |
| 650 | 6 | |a Convergence (Mathématiques) | |
| 650 | 6 | |a Multiplicateurs (Analyse mathématique) | |
| 650 | 6 | |a Séries arithmétiques. | |
| 650 | 6 | |a Espaces d'Orlicz. | |
| 650 | 7 | |a arithmetic progressions. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a Convergence |2 fast | |
| 650 | 7 | |a Multipliers (Mathematical analysis) |2 fast | |
| 650 | 7 | |a Orlicz spaces |2 fast | |
| 650 | 7 | |a Series, Arithmetic |2 fast | |
| 650 | 7 | |a Applied Mathematics. |2 hilcc | |
| 650 | 7 | |a Engineering & Applied Sciences. |2 hilcc | |
| 776 | 0 | 8 | |i Print version: |a Swartz, Charles, 1938- |t Multiplier convergent series. |d Hackensack, N.J. : World Scientific Publishing, ©2009 |z 9789812833877 |w (DLC) 2009277312 |w (OCoLC)228372408 |
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