![]() ![]() More precisely, assuming T B(X,Y ) is invertible, T is also invertible, with inverse (T1).īut equation (11) says (ST ) = ST. In our notation, we are asked to prove (T )1 = (T1). ) So the identity weare asked to show is nothing but the obvious f (T S) = (f T ) S.Problem 4.5.8. (When we write ST, that is really short for S T. ![]() Solution set 2to some problems given for TMA4230 Functional analysisīut perhaps it is more instructive to note that the definition of the adjoint can be written Sf = f S, where denotes the composition of functions. ![]()
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