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Density versions of two generalizations of Schur's theorem

✍ Scribed by Vitaly Bergelson; Neil Hindman

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
382 KB
Volume
48
Category
Article
ISSN
0097-3165

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The Schur Horn Convexity Theorem states that for where p denotes the projection on the diagonal. In this paper we generalize this result to the setting of arbitrary separable Hilbert spaces. It turns out that the theorem still holds, if we take the l -closure on both sides. We will also give a desc