Descriptions of nest algebras

Anoussis, M.; Katsoulis, E. G.

doi:10.1090/S0002-9939-1990-1009984-8

Descriptions of nest algebras
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by M. Anoussis and E. G. Katsoulis PDF

Proc. Amer. Math. Soc. 109 (1990), 739-745 Request permission

Abstract:

Every operator in the algebra of a continuous nest $\mathcal {N}$ can be factored as a product of two operators which belong to certain diagonal disjoint ideals of $\operatorname {Alg} \mathcal {N}$. This factorization leads to a new description of nest algebras.

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Diagonal disjoint ideals of nest algebras