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A geometric proof of the spectral theorem for unbounded self-adjoint operators

✍ Scribed by Herbert Leinfelder


Publisher
Springer
Year
1979
Tongue
English
Weight
558 KB
Volume
242
Category
Article
ISSN
0025-5831

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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