Geodesic
Norm One Multipliers on Subspaces of Lp
Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 194-203

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We 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).
DOI : 10.4153/CMB-1992-028-2
Mots-clés : 42A45, 43A22. 
Hare, Kathryn E. Norm One Multipliers on Subspaces of Lp. Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 194-203. doi: 10.4153/CMB-1992-028-2
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     title = {Norm {One} {Multipliers} on {Subspaces} of {Lp}},
     journal = {Canadian mathematical bulletin},
     pages = {194--203},
     year = {1992},
     volume = {35},
     number = {2},
     doi = {10.4153/CMB-1992-028-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-028-2/}
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