A model for (n, p)-hypercontractions on Banach space

作者：Gu, Caixing^*; Chen, Zhengli

来源：Indagationes Mathematicae, 2015, 26(3): 485-494.

DOI：10.1016/j.indag.2015.02.003

• Hypercontraction
• Model operator
• Weighted backward shift
• (m, p)-isometry
• Banach space

In this paper we extend a model of Agler for n-hypercontractions on Hilbert space to Banach space. This work also generalizes models of Nagy-Foias, Rovnyak-de Branges for contractions on Hilbert space to Banach space. A version of the similarity model of Rota on Banach space is also given.

• 出版日期2015-5
• 单位陕西师范大学