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States on families of subspaces of pre-Hilbert spaces

✍ Scribed by Anatolij Dvurečenskij

Publisher: Springer
Year: 1989
Tongue: English
Weight: 242 KB
Volume: 17
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420009

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✦ Synopsis

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.

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