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= Let T : L'(R) → L'(R) be a linear transformation for t = p and t = 4, 1 1 where + 1 and 1

Posted: Thu May 12, 2022 9:39 am
by answerhappygod
Let T L R L R Be A Linear Transformation For T P And T 4 1 1 Where 1 And 1 P 0 Assume Further That P 1
Let T L R L R Be A Linear Transformation For T P And T 4 1 1 Where 1 And 1 P 0 Assume Further That P 1 (22.69 KiB) Viewed 21 times
= Let T : L'(R) → L'(R) be a linear transformation for t = p and t = 4, 1 1 where + 1 and 1<p < 0. Assume further that P9 Sif(T9 ) dm = [(75)gdn dm holds for all f in L(R) and all g in L'(R). Prove that T is continuous from LP(R) into LP(R) if and only if T is continuous from L'(R) into L'(R)