Multiplier convergent series /

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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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Swartz, Charles, 1938-
Format: Electronic eBook
Language:Inglés
Published: Hackensack, N.J. : World Scientific Pub., ©2009.
Subjects:
Convergence.
Multipliers (Mathematical analysis)
Series, Arithmetic.
Orlicz spaces.
Applied Mathematics.
Engineering & Applied Sciences.
Convergence (Mathématiques)
Multiplicateurs (Analyse mathématique)
Séries arithmétiques.
Espaces d'Orlicz.
arithmetic progressions.
MATHEMATICS > Infinity.
Convergence
Orlicz spaces
Series, Arithmetic
Online Access:Texto completo
Table of Contents:
  • 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.

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