2018
DOI: 10.48550/arxiv.1812.04029
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space

Abstract: Motivated by the Hilbert-space model for quantum mechanics, we define a pre-Hilbert space logic to be a pair (S, L ), where S is a pre-Hilbert space and L is an orthocomplemented poset of orthogonally closed linear subspaces of S, closed w.r.t. finite dimensional perturbations, (i.e. if M ∈ L and F is a finite dimensional linear subspace of S, then M + F ∈ L ). We study the order topology τo(L ) on L and show that completeness of S can by characterized by the separation properties of the topological space (L ,… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 25 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?