In this paper, we identify the vector valued Hardy space with the Hardy space over the bidisk and construct a universal model for the contractive analytic functions. We will also study some elementary properties of the submodules and show, in some cases, how the operator theoretical properties are related to the module theoretical properties. The last part focus on the study of double commutativity of compression operators.
机构:
Univ Artois, LML, EA 2462, FR 2956, F-62300 Lens, France
Univ Artois, Federat CNRS Nord Pas de Calais, EA 2462, FR 2956, F-62300 Lens, FranceUniv Artois, LML, EA 2462, FR 2956, F-62300 Lens, France
Li, Daniel
论文数: 引用数:
h-index:
机构:
Queffelec, Herve
Rodriguez-Piazza, Luis
论文数: 0引用数: 0
h-index: 0
机构:
Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain
Univ Seville, Fac Matemat, IMUS, E-41080 Seville, SpainUniv Artois, LML, EA 2462, FR 2956, F-62300 Lens, France