Local automorphisms of the sets of states and effects on a Hilbert space
From MaRDI portal
Publication:5960834
DOI10.1016/S0034-4877(01)80090-2zbMath1007.47014MaRDI QIDQ5960834
Publication date: 26 March 2003
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items
On local automorphisms of some quantum mechanical structures of Hilbert space operators ⋮ Linear maps on the space of all bounded observables preserving maximal deviation. ⋮ Automorphisms of Hilbert space effect algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Reflexivity of the automorphism and isometry groups of the suspension of \({\mathcal B}({\mathcal H})\)
- Local automorphisms of the unitary group and the general linear group on a Hilbert space
- On some automorphisms of the set of effects on Hilbert space.
- Local derivations
- A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
- Some multiplicative preservers on \(B(H)\)
- Reflexivity of the automorphism and isometry groups of \(C^*\)-algebras in BDF theory
- On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\)
- The set of automorphisms of B(H) is topologically reflexive in B(B(H))
- Reflexivity, Algebraic Reflexivity and Linear Interpolation
- Local automorphisms and derivations on $\mathcal {B}(H)$
- Symmetry Groups in Quantum Mechanics and the Theorem of Wigner on the Symmetry Transformations
- On local automorphisms and mappings that preserve idempotents