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State on splitting subspaces and completeness of inner product spaces

✍ Scribed by Anatolij Dvurečenskij; Sylvia Pulmannová


Publisher
Springer
Year
1988
Tongue
English
Weight
347 KB
Volume
27
Category
Article
ISSN
0020-7748

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Completeness of inner product spaces wit
✍ Gianpiero Cattaneo; Giuseppe Marino 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 222 KB

The set E(S) of all splitting subspaces, i.e., of all subspaces M of an inner product space S for which M(~ M • = S holds, is an orthocomplemented orthomodular orthoposet and it has already been shown that the ordering property on E(S) of being a complete lattice characterizes the completeness of in