translation invariant subspaces
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1992 ◽  
Vol 35 (2) ◽  
pp. 194-203
Author(s):  
Kathryn E. Hare

AbstractWe present a new elementary proof of the fact that a norm one multiplier ϕ on LP(T) satisfying ϕ(0) = ϕ(k) = 1 is k-periodic, and extend this result, when possible, to multipliers on translation invariant subspaces of LP. A consequence of our work is that all such multipliers on HP(T) are the restriction of a norm one multiplier on LP(T).


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