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36 reviewsContents: Basic Properties of Multiplier Convergent Series; Applications of Multiplier Convergent Series; The Orlicz Pettis Theorem; Orlicz-Pettis Theorems for 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.