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Some interesting posets of subspace of a pre-Hilbert space. (Italian. English summary) Zbl 0599.46023

We introduce and study three remarkable families of subspaces in a pre- Hilbert space from the ordering point of view. The completeness of the pre-Hilbert space is characterized by means of the properties which the three families have with respect to the ordering.

MSC:

46C99 Inner product spaces and their generalizations, Hilbert spaces
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References:

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