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008 090216t2008 si f b 001 0 eng d
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040 _aUMP
090 _aQA295 .S93 2009
100 1 _aSwartz, Charles
245 1 0 _aMultiplier convergent series /
_cCharles Swartz
260 _aSingapore ;
_aHackensack, NJ :
_bWorld Scientific,
_cc2009
300 _ax, 253 p. ;
_c24 cm.
504 _aIncludes bibliographical references (p. 245-249) and index
505 0 _aIntroduction -- 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
650 0 _aConvergence
650 0 _aMultipliers (Mathematical analysis)
650 0 _aSeries, Arithmetic
650 0 _aOrlicz spaces
999 _aVIRTUA40
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999 _aVTLSSORT0080*0200*0201*0400*0900*1000*2450*2600*3000*5040*5050*6500*6501*6502*6503*9991