absolutely ф-summable sequences in banach spaces ... - Project Euclid

0 downloads 0 Views 301KB Size Report
Nov 8, 2005 - statement is the famous Dvoretzky-Rogers theorem to which we shall ..... The proof of the above statement follows exactly on the lines of.
    

        

          

                             ! !" #$$ !  %    !       #!  $ #   & $    $      #   !   !      '(#!  " )     '!!( !  "   * + '    ,  (  $!  ! )     $  '   (  !!)   -  !         !      .# $!      !!   !     !

                                

                                                    !" #" $" %! "                #                               

         $                          &" '! %                                          (!                                     "   '!   &  %                         '(     +///        0$" 123/  " 14/      5  $   #$$ $  ! !" # $$

   %   "    6 $  7 +//8      $   " 7 +//2

 !"!!#$  %%%%&& '()*+, ­-  -.( /,0)/ 0,+0,)-1 /1,)

))*

 

))+

                                          ,                -                 

            . /      0        /     #         1                            0                                         2               /                  1                 

 #   ,        ,          1              

          

( )*  + , ,  3       

                       (!              -!                £                 3  -  

    0   4 - 5-  6 - 7       4        )*   (   ½      ,  ½    

£          ½          

 6

½



    

  

    ½      ½    ½        6 8       

 6

½



        

 £

#9

:; ;  ! !  '+//+( 7+ 7+4  > &  ! = >)             $#  9 " 0  $   ??8  > &  !  >> 9!       "  $  #

$!  " 0    ?44  = >) 

      #5 !  ?7       0           !            0 $     '??7( @/@ @/4   0  "  #  $      !     0 $     '??+( /@ /1/        !         0 $     '??8( @@+? @@@1  #               !     0 $     '??2( +/@ +/+/

  "         !     0 $     '??4( +/4@ +/7+   0   :  #0 #     

     !     0 $     '??+( 8/4 84  3 0  %  !    ! #       $   $!  " 0   ?78   A          !! >   '+//8( @2? @7@   ! &  ' (     #     '??+( 818 882