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Bounds for eigenvalues of Schatten–von Neumann operators via self-commutators

✍ Scribed by Gil', Michael


Book ID
125850153
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
411 KB
Volume
267
Category
Article
ISSN
0022-1236

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A Geometric Spectral Theory for n-tuples
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Suppose b 1 , ..., b n are self-adjoint elements in a finite von Neumann algebra M with trace { and define a map 9 from M to complex (n+1)-space by the formula 9(x)=({(x), {(b 1 x), ..., {(b n x)). Next let B denote the image of the positive unit ball of M under the map 9. B is called the spectral s