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math-ph2022★ 7 cited
A characterisation of orthomodular spaces by Sasaki maps
Bert Lindenhovius, Thomas Vetterlein
Given a Hilbert space , the set of one-dimensional subspaces of becomes an orthoset when equipped with the orthogonality relation induced by the inner product…
math-ph2020
A geometric approach to Wigner-type theorems
Mark Pankov, Thomas Vetterlein
Let be a complex Hilbert space and let be the associated projective space (the set of rank-one projections). Suppose that . We prove the followin…
math-ph2020
Gradual transitivity in orthogonality spaces of finite rank
Thomas Vetterlein
An orthogonality space is a set together with a symmetric and irreflexive binary relation. Any linear space equipped with a reflexive and anisotropic inner product provides an exam…