Some operator algebras in nested Hilbert Space

Debacker-Mathot, F.
(1975) Communications in Mathematical Physics — Vol. 42, n° 2, p. 183-193 (1975)

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  • Debacker-Mathot, F.
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Abstract
The existence of a von Neumann algebra of operators and hence the existence of projections acting in any nested Hilbert space is proved. Some other algebras of operators are studied. All those algebras are exhibited in a particular class of Nested Hilbert Spaces, namely sequence spaces.
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Debacker-Mathot, F. (1975). Some operator algebras in nested Hilbert Space. Communications in Mathematical Physics, 42(2), 183-193. https://hdl.handle.net/2078.5/149294 (Original work published 1975)