Maps on Hilbert Spaces
As with all mathematical structures, it is important to know what kinds of functions from one Hilbert space to another preserve the important properties of the structure. Besides mathematical interest, the functions on Hilbert space that we study in this chapter provide a crucial link to the notion of an “observable physical quantity” in the Hilbert space formulation of quantum mechanics.
KeywordsHilbert Space Projection Operator Hermitian Operator Linear Manifold Physical Universe
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