Additive isometries on a quaternionic Hilbert space
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Publication:3209631
DOI10.1063/1.528779zbMath0722.46009OpenAlexW1977274522MaRDI QIDQ3209631
D. F. Almeida, Chandra Shekhar Sharma
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528779
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)
Related Items (4)
Generalized symmetry transformations on quaternionic indefinite inner product spaces: An extension of quaternionic version of Wigner's theorem ⋮ The Kronecker product of two 2\(\times 2\) matrices, Lorentz transformations, and the structure of space-time in special relativity ⋮ A generalization of Wigner’s unitary–antiunitary theorem to Hilbert modules ⋮ A variant of Wigner's functional equation
Cites Work
- Calculus on complex Banach spaces
- Quaternionic quantum field theory
- A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
- Spectral theory for unitary operators on a quaternionic Hilbert space
- The KS-transformation in hypercomplex form and the quantization of the negative-energy orbit manifold of the Kepler problem
- On a basic theorem of quaternion modules
- Additive functionals and operators on a quaternionic Hilbert space
- Note on Wigner's Theorem on Symmetry Operations
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