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Hilbert C*-modules are JB*-triples
Jose M. Isidro
We show that every Hilbert C*-module E is a JB*-triple in a canonical way and establish an explicit expression for the holomorphic automorphisms of the unit ball of E.
Darboux's Theorem and Quantisation
J. M. Isidro
It has been established that endowing classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In this letter we argue that, while sufficient,…
Manifolds of algebraic elements in the algebra L(H) of bounded linear operators
Jose M. Isidro
Given a complex Hilbert space H, we study the differential geometry of the manifold A of normal algebraic elements in Z=L(H), the algebra of bounded linear operators on H. We repre…
The manifold of finite rank projections in the algebra L(H) of bounded linear operators
J. M. Isidro, M. Mackey
Given a complex Hilbert space H, we study the differential geometry of the manifold M of all projections in V:=L(H). Using the algebraic structure of V, a torsionfree affine connec…
On the Equivalence Principle of Quantum Mechanics
J. M. Isidro
A recent concept in theoretical physics, motivated in string duality and M-theory, is the notion that not all quantum theories arise from quantising a classical system. Also, a giv…