Selfadjoint operator extensions satisfying the weyl commutation relations

Palle E.T Jørgensen

doi:10.1090/S0273-0979-1979-14583-X

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Selfadjoint operator extensions satisfying the weyl commutation relations

Journal article

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Selfadjoint operator extensions satisfying the weyl commutation relations

Palle E.T Jørgensen

Bulletin of the American Mathematical Society, Vol.1(1), pp.266-269

1979

DOI: 10.1090/S0273-0979-1979-14583-X

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Abstract

Motivated by questions concerning uniqueness of unbounded derivations in commutative C *-algebras, and related problems on singular perturbations, we define two mixed global and infinitesimal versions of the Weyl operator commutation relations (one degree of freedom and infinite multiplicity), a weak one and a strong one. We announce two structure theorems of a geometric nature which characterize the nonselfadjoint symmetric operators entering in the Weyl systems. Proofs are only indicated.

Details

Title: Subtitle: Selfadjoint operator extensions satisfying the weyl commutation relations
Creators: Palle E.T Jørgensen
Resource Type: Journal article
Publication Details: Bulletin of the American Mathematical Society, Vol.1(1), pp.266-269
DOI: 10.1090/S0273-0979-1979-14583-X
ISSN: 0273-0979
eISSN: 1088-9485
Language: English
Date published: 1979
Academic Unit: Mathematics
Record Identifier: 9983985854502771

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