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- W2046070710 abstract "The spaces L p ( , φ) for 1 ≤ p ≤ ∞, where φ is a faithful semifinite normal trace on a von Neumann algebra , are defined in (10),(2),(14). The problem of determining the general form of an isometry of one such space into another has been studied in (i), (6), (9), (12), (5). Our main result, Theorem 2, is a characterization of such isometries for 1 ≤ p ≤ ∞, ≠ 2. The method of proof is based on that of (7), where isometries between L p function spaces are characterized. The main step in the proof is Theorem 1, which gives the conditions under which equality holds in Clarkson's inequality." @default.
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- W2046070710 date "1981-07-01" @default.
- W2046070710 modified "2023-10-18" @default.
- W2046070710 title "Isometries of non-commutative <i>L<sup>p</sup></i>-spaces" @default.
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- W2046070710 doi "https://doi.org/10.1017/s0305004100058515" @default.
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