Year: 2024
Type: article
Abstract: Problem 155 of the Scottish Book asks whether every bijection U : X → Y between two Banach spaces X , Y with the property that, each point of X has a neighborhood on which U is isometric, is globally isometric on X . We prove that this is true under the additional assumption that X is separable and the weaker assumption of surjectivity instead of bijectivity.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.572
Author: Michiya Mori
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: 作用素の順序と距離の研究
OpenAlex ID: W4403184599