Weak stability of 𝜺-isometry Mapping on Real Banach Spaces

Year 2022, Issue: 34, 110 - 114, 31.03.2022

Minanur Rohman , İlker Eryılmaz

https://doi.org/10.31590/ejosat.1076318

Abstract

The stability of standard 𝜀-isometry mapping in real Banach spaces cannot be determined without using the assumption of surjectivity. However, this mapping remains weakly stable under weak topology. Using this weak stability, there is a bounded linear left-inverse for non-surjective 𝜀-isometry.

Keywords

𝜀-isometry, Banach space, stability, weak topology, bounded linear left-inverse

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