Multiplier convergent series
Convergence Multipliers (Mathematical analysis) Orlicz spaces Series, Arithmetic e-böcker
World Scientific Pub.
2009
EISBN 9789812833884
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.
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.
