Article ID Journal Published Year Pages File Type
4590712 Journal of Functional Analysis 2013 13 Pages PDF
Abstract

Let HH be a complex Hilbert space, n   a given positive integer and let Pn(H)Pn(H) be the set of all projections on HH with rank n  . Under the condition dimH⩾4n, we describe the surjective isometries of Pn(H)Pn(H) with respect to the gap metric (the metric induced by the operator norm).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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