Multiplier convergent series /
Swartz, Charles
Multiplier convergent series / Charles Swartz - Singapore ; Hackensack, NJ : World Scientific, c2009 - x, 253 p. ; 24 cm.
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
9789812833877 9812833870
Convergence
Multipliers (Mathematical analysis)
Series, Arithmetic
Orlicz spaces
Multiplier convergent series / Charles Swartz - Singapore ; Hackensack, NJ : World Scientific, c2009 - x, 253 p. ; 24 cm.
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
9789812833877 9812833870
Convergence
Multipliers (Mathematical analysis)
Series, Arithmetic
Orlicz spaces