Dergiler / Avrupa Bilim ve Teknoloji Dergisi / 2022 / Sayı: 34
Weak stability of 𝜺-isometry Mapping on Real Banach Spaces
- Sayı
- 2022 · Sayı: 34
- Sayfa
- 110–114
- DOI
- —
Özet
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.
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.