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A short and constructive proof of Tarski’s fixed-point theorem

✍ Scribed by Federico Echenique

Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
250 KB
Volume
33
Category
Article
ISSN
0020-7276

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✍ Fred Richman; Douglas Bridges 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 167 KB

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.