Commutation Properties of Hilbert Space Operators and Related Topics

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What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis- cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta- tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of ...

Commutation Properties of Hilbert Space Operators and Related Topics 2012, Springer

ISBN-13: 9783642859403

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Commutation Properties of Hilbert Space Operators and Related Topics 1967, Springer

ISBN-13: 9783540037781

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