Orthogonality spaces allowing gradual transitions
Available Online August 2019.
- https://doi.org/10.2991/eusflat-19.2019.29How to use a DOI?
- Orthogonality space Real Hilbert space Foundations of quantum mechanics
- We consider orthogonality spaces subjected to the condition that gradual transitions between any two elements are possible. More precisely, given elements e and f, we require a homomorphism from the unit circle to the automorphism group to exist such that one of these automorphisms maps e to f, and any of these automorphisms leaves the elements orthogonal to e and f fixed. A natural example is the collection of one-dimensional subspaces of a real Hilbert space, endowed with the usual orthogonality relation. We show that the general case is closely related to this example.
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Cite this article
TY - CONF AU - Thomas Vetterlein PY - 2019/08 DA - 2019/08 TI - Orthogonality spaces allowing gradual transitions BT - 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019) PB - Atlantis Press SP - 192 EP - 197 SN - 2589-6644 UR - https://doi.org/10.2991/eusflat-19.2019.29 DO - https://doi.org/10.2991/eusflat-19.2019.29 ID - Vetterlein2019/08 ER -