Abstract
We prove the existence of a von Neumann algebra of operators and hence the existence of projections acting in any nested Hilbert space. 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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Communicated by H. Araki
Aspirant au Fonds National de la Recherche Scientifique.
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Debacker-Mathot, F. Some operator algebras in nested Hilbert spaces. Commun.Math. Phys. 42, 183–193 (1975). https://doi.org/10.1007/BF01614160
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DOI: https://doi.org/10.1007/BF01614160