Spectral properties in a class of operators and group representations in nested Hilbert spaces
(1977) Reports on Mathematical Physics — Vol. 11, n° 3, p. 361-375 (1977)
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- Abstract
- The author characterizes the spectrum of the elements of some operator algebras acting in a nested Hilbert space. In one of those algebras he proves the spectral theorem for Hermitian operators and the SNAG theorem for unitary representations of locally compact Abelian groups. Then extends the SNAG theorem to representations in three more general classes of operators.
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Citations
Debacker-Mathot, Fr. (1977). Spectral properties in a class of operators and group representations in nested Hilbert spaces. Reports on Mathematical Physics, 11(3), 361-375. https://hdl.handle.net/2078.5/149168 (Original work published 1977)