Interpolation in nest algebra modules

Author:
Xiaoxia Zhang

Journal:
Proc. Amer. Math. Soc. **130** (2002), 427-432

MSC (2000):
Primary 47L35

DOI:
https://doi.org/10.1090/S0002-9939-01-06074-9

Published electronically:
May 23, 2001

MathSciNet review:
1862122

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Let be a nest algebra and its invariant projection (or subspace) lattice. In this paper, using order homomorphisms of , we give necessary and sufficient conditions on bounded linear operators and on a Hilbert space to guarantee the existence of an operator in a certain -module such that .

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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

DOI:
https://doi.org/10.1090/S0002-9939-01-06074-9

Keywords:
Nest algebra,
nest algebra module,
operator interpolation,
order homomorphism

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

Article copyright:
© Copyright 2001
American Mathematical Society