Mathematical Foundations of Quantum Mechanics

PARTIAL LIST OF KEYWORDS: origin of transformation theory; original formulations of quantum mechanics; Hilbert space; abstract Hilbert space; geometry of Hilbert space; digression on the conditions; closed linear manifolds; operators in Hilbert space; the Eigenvalue problem; continuation; commutative operators; the trace; statistical assertions of quantum mechanics; uncertainty relations; projections as propositions; radiation theory; reversability and equalibrium problems; composite systems; macroscopic measurement; etc., etc.