Technical results

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                                2.1 Schur multipliers and Pellers theorem       17

and only if there exist a probability space (, ) and bounded operators T1 : L1 () L (; ), T2 : L1 (; ) L () such that T L1 () L () L () T1 T2 L (; ) L1 (; )

is commutative. Therefore, we can factorize T0 as follows:

               L1 () 
                       T
                         L (; )  L1 (; ) 
                                                      T
                       1                         2
    ...

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