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Isometric Mappings of Non-Commutative LP Spaces
Published online by Cambridge University Press: 20 November 2018
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If the Lp spaces of two measure spaces are “the same”, to what extent can we identify the underlying measure spaces? This question has been partially answered by Schneider [7] (extending results of Forelli [2]). He proves that a linear isometry between the Lv spaces of two finite measure spaces is in fact an (isometric) homomorphism between the corresponding L∞ spaces, if it preserves the identity.
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- Copyright © Canadian Mathematical Society 1976
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