Isometries on $L\sp{p}$ spaces and copies of $l\sp{p}$ shifts
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چکیده
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15 صفحه اولSurjective Isometries on Grassmann Spaces
Let H be a complex Hilbert space, n a given positive integer and let Pn(H) be the set of all projections on H with rank n. Under the condition dimH ≥ 4n, we describe the surjective isometries of Pn(H) with respect to the gap metric (the metric induced by the operator norm).
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1979
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1979-0542084-5