Interpolation in nest algebra modules
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- by Xiaoxia Zhang PDF
- Proc. Amer. Math. Soc. 130 (2002), 427-432 Request permission
Abstract:
Let $\mathcal {A}$ be a nest algebra and ${\mathcal L}at \mathcal {A}$ its invariant projection (or subspace) lattice. In this paper, using order homomorphisms of ${\mathcal L}at \mathcal {A}$, we give necessary and sufficient conditions on bounded linear operators $X$ and $Y$ on a Hilbert space to guarantee the existence of an operator $A$ in a certain $\mathcal {A}$-module such that $AX = Y$.References
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Additional Information
- Xiaoxia Zhang
- Affiliation: Department of Mathematics, Qufu Normal University 273165, Shan Dong, People’s Republic of China
- Email: xiaoxiazhang@webpc.edu.cn
- Received by editor(s): March 12, 1998
- Received by editor(s) in revised form: October 22, 1998, November 22, 1999, and June 14, 2000
- Published electronically: May 23, 2001
- Communicated by: David R. Larson
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 427-432
- MSC (2000): Primary 47L35
- DOI: https://doi.org/10.1090/S0002-9939-01-06074-9
- MathSciNet review: 1862122