Real algebras with a Hilbert space structure
نویسندگان
چکیده
منابع مشابه
Symmetries of Hilbert space effect algebras
Let H be a Hilbert space and E(H) the effect algebra on H, that is, E(H) is the set of all self-adjoint operators A : H → H satisfying 0 ≤ A ≤ I. The effect algebra can be equipped with serveral operations and relations that are important in mathematical foundations of quantum mechanics. Automorphisms with respect to these operations or relations are called symmetries. We present a new method t...
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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 r...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1966
ISSN: 0004-2080
DOI: 10.1007/bf02590966