Self-adjoint operators in indefinite metric spaces

Dobson, P.N.

doi:10.1063/1.1665721

Self-adjoint operators in indefinite metric spaces

P.N. Dobson
(
- Hawaii U.
)

1971

4 pages

Published in:

J.Math.Phys. 12 (1971) 1207-1210

DOI:

10.1063/1.1665721

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Abstract: (AIP)

Some properties of self‐adjoint operators in indefinite metric spaces are explored, with emphasis on the problem of the completeness of the set of eigenvectors. For operators in spaces of finite dimension, some simple criteria are deduced regarding the existence of such a complete set. Implications of completeness of eigenvectors for operators in infinite‐dimensional spaces are discussed, and some partial extensions of the results for finite dimensions given.

model: field theory

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