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.
|
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.