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The isometries of Hp(K)
Published online by Cambridge University Press: 09 April 2009
Abstract
Let 1 ≤ p < ∞, p ≠ 2 and let K be any complex Hilbert space. We prove that every isometry T of Hp(K) onto itself is of the form , where U ia a unitary operator on K and φ is a conformal map of the unit disc onto itself.
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- Research Article
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- Copyright © Australian Mathematical Society 1991
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