A Theorem on Isometries and the Application of it to the Isometries of Hp(S) for 2 < p < ∞
Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 284-289
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Let X and Y be sets, let λ be a bounded positive measure on X, and let μ be a bounded positive measure on Y. Furthermore let M be a subalgebra of L∞(λ), let p ∈ (0, ∞), and let A be a linear transformation of M into Lp(μ) such that for all f in M.In § 2 of this paper we will prove the following theorem.
Forelli, Frank. A Theorem on Isometries and the Application of it to the Isometries of Hp(S) for 2 < p < ∞. Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 284-289. doi: 10.4153/CJM-1973-028-7
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author = {Forelli, Frank},
title = {A {Theorem} on {Isometries} and the {Application} of it to the {Isometries} of {Hp(S)} for 2 < p < \ensuremath{\infty}},
journal = {Canadian journal of mathematics},
pages = {284--289},
year = {1973},
volume = {25},
number = {2},
doi = {10.4153/CJM-1973-028-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-028-7/}
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[1] 1. Forelli, F., The isometries of Hp, Can. J. Math. 16 (1964), 721–728. Google Scholar
[2] 2. Schneider, R. B., Isometries of Hp(Un), Can. J. Math. 25 (1973), 92–95. Google Scholar
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