Weak stability of 𝜺-isometry Mapping on Real Banach Spaces

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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