Real-linear Operators on Quaternionic Hilbert Space
نویسنده
چکیده
The main result is that any continuous real-linear operator A on a quaternionic Hubert space has a unique decomposition A=A0+iiAl + izAi+iiA3, where the A„ are continuous linear operators and (fi,f2,'3) is any right-handed orthonormal triad of vector quaternions. Other results concern the place of the colinear and complex-linear operators in this characterisation and the effect on the Av of a rotation of the triad of vector quaternions. A new result concerning symplectic images of a quaternionic Hubert space is also presented.
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