-norm is dual to
The following theorem shows that the operator norm of is equal to the -norm of .
Note that the -finite condition is required, except in the cases mentioned. For example, if is the measure satisfying for every nonempty set , then for and it is easily checked that equality (1) fails whenever and .
|Title||-norm is dual to|
|Date of creation||2013-03-22 18:38:13|
|Last modified on||2013-03-22 18:38:13|
|Last modified by||gel (22282)|