Two-dimensional Banach spaces with Polynomial numerical index zero

TL;DR

This paper investigates two-dimensional Banach spaces that have a polynomial numerical index of zero, aiming to understand their structure and properties.

Contribution

It provides a characterization and analysis of two-dimensional Banach spaces with polynomial numerical index zero, a previously unexplored class.

Findings

Identification of conditions for polynomial numerical index zero

Characterization of the structure of such Banach spaces

Insights into the geometric properties related to the index

Abstract

We study two-dimensional Banach spaces with polynomial numerical indices equal to zero.