Year: 2024
Type: article
Abstract: Let X be a Banach space, T be a compact Hausdorff space, C(T) be the real Banach space of all real-valued continuous functions on T endowed with the supremum norm and f:X→ C(T) be an varepsilon-isometry with f(0)=0. Then there exist a nonempty closed subset S⊆ T and a linear isometry g:X→ øverlinespanf(X)S⊆ C(S), g(u)≡ łimn→∞fracf(2^nu)S2^n ∀ u∈ X, such that
Source: Scientia Sinica Mathematica
Authors: Jiang Nan, Zhou Yu
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404493557