On a characterization of dual Banach spaces through determinant subspaces of norm-attaining linear forms

TL;DR

This paper provides necessary and sufficient conditions to characterize when a Banach space is isometrically isomorphic to a dual space, using determinant subspaces of norm-attaining linear forms.

Contribution

It introduces a new characterization of dual Banach spaces based on determinant subspaces of norm-attaining linear forms, expanding understanding of dual space structures.

Findings

Characterization of dual Banach spaces via determinant subspaces

Necessary and sufficient conditions for duality in Banach spaces

New insights into norm-attaining linear forms

Abstract

Necessary and sufficient conditions for Banach space to be(isometrically isomorphic to) a dual space will be given.