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A constructive proof of Kirszbraun’s theorem

✍ Scribed by A. V. Akopyan; A. S. Tarasov


Book ID
110149433
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
484 KB
Volume
84
Category
Article
ISSN
0001-4346

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Gleason's theorem states that any totally additive measure on the closed subspaces, or projections, of a Hilbert space of dimension greater than two is given by a positive operator of trace class. In this paper we give a constructive proof of that theorem.