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A Theorem on Isometries and the Application of it to the Isometries of Hp(S) for 2 < p < ∞
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1973
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