Multiplier convergent series
By: Charles Swartz.
Publisher: World Scientific
Published: 2009
Place of publication: Hackensack, NJ
Language: eng
Number of pages: 253
ISBN-13: 9789812833877
Subjects: Convergence; Multipliers (Mathematical analysis); Series, Arithmetic; Orlicz spaces
Notes: Includes bibliographical references (p. 245-249) and index.
Table of contents: title: Introduction; title: Basic properties of multiplier convergent series; title: Applications of multiplier convergent series; title: The Orlicz-Pettis theorem; title: Orlicz-Pettis theorems for the strong topology; title: Orlicz-Pettis theorems for linear operators; title: The Hahn-Schur theorem; title: Spaces of multiplier convergent series and multipliers; title: The Antosik interchange theorem; title: Automatic continuity of matrix mappings; title: Operator valued series and vector valued multipliers; title: Orlicz-Pettis theorems for operator valued series; title: Hahn-Schur theorems for operator valued series; title: Automatic continuity for operator valued matrices.