Operator algebras generated by Boolean algebras of projections in Montel spaces |
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Authors: | Ricker Werner J |
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Institution: | (1) Mathematisches Institut der Universität Tübingen, Auf der Morgenstelle 10, D-7400 Tübingen, Germany |
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Abstract: | It is shown that the classical result of W. Bade, stating that the uniformly closed operator algebra generated by a complete Boolean algebra of projections in a Banach space coincides with the weak operator closed algebra that it generates, is also valid (if suitably interpreted) in Montel spaces, Schwartz spaces and other related spaces. |
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