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On global geometric properties of subspaces in Hilbert space

✍ Scribed by Leiba Rodman


Book ID
107794873
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
449 KB
Volume
45
Category
Article
ISSN
0022-1236

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States on families of subspaces of pre-H
✍ Anatolij Dvurečenskij πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 242 KB

We present six families of closed subspaces of a pre-Hilbert space and we show that if arbitrary, one of them possesses at least one completely additive state, then the pre-Hilbert space is complete.