Operator Theory in the Hardy Space over the Bidisk, III☆

By Rongwei Yang. 2001

91 citations recorded by the source corpus.

This paper is a continuation of a project of developing a systematic operator theory inH2(D2). A large part of it is devoted to a study ofevaluation operator which is a very useful tool in the theory. A number of elementary properties of the evaluation operator are exhibited, and these properties are used to derive results in other topics such as interpretation of characteristic opertor function inH2(D2), spectral equivalence, compactness, compressions of shift operators, etc., Even though some results reflect the two variable nature ofH2(D2), the goal of this paper is to manifest a close tie between the operator theory inH2(D2) and classical single operator theory. The unilateral shift of a finite multiplicity and the Bergman shift will be used as examples to illustrate some of the results.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/38a541ab8aa70b263781755dae735c37f8ef8a69

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In Applied Mathematics

1. C. Zhong
2. Shunhua Sun
3. Kunyu Guo
4. Dechao Zheng
5. Ronald G. Douglas
6. Kai Wang
7. W. Arveson

In Mathematical Physics

1. Kunyu Guo
2. Ronald G. Douglas
3. W. Arveson

Citations in the corpus

• Multiplication operators on the Bergman space via the Hardy space of the bidisk (2009, background): “Yang [13], [37], [38] and [39]; the higher-order Hankel forms by S.”