TY  - BOOK
AU  - Swartz,Charles
TI  - Multiplier convergent series
SN  - 9789812833877
PY  - 2009///
CY  - Singapore, Hackensack, NJ
PB  - World Scientific
KW  - Convergence
KW  - Multipliers (Mathematical analysis)
KW  - Series, Arithmetic
KW  - Orlicz spaces
N1  - Includes bibliographical references (p. 245-249) and index; 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
ER  -