Polynomial numerical index with respect to a norm-one polynomial
Abstract
In this paper, we introduce the polynomial numerical index of a pair of Banach spaces with respect to a norm-one polynomial. This index generalizes the concept of polynomial numerical index defined by Y. S. Choi et al. in 2006 and extends to polynomials the notion of numerical index with respect to an operator, introduced by M. A. Ardalani in 2014. We investigate several properties of this index and present examples.
Fields of Study & Subjects
Advanced Banach Space Theory
Holomorphic and Operator Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Publisher
- Informa UK Limited
- Pages
- 1–20
- Publication date
- 20 September 2026
- Language
- EN