Giuliano Basso
Published 2023-08-16Version 1
We give an affirmative answer to problem 155 form the "Scottish Book" due to Mazur and Sternbach. In modern terminology they asked if every bijective local isometry between two real Banach spaces is always a global isometry. Recently, an affirmative answer in the separable case has been obtained by M. Mori, using techniques related to the Mazur--Ulam theorem. In this short note, we use a different approach motivated by recent advances in metric geometry to completely settle Mazur and Sternbach's question.
Polynomial estimates and radius of analyticity on real Banach spaces
On transitive operator algebras in real Banach spaces
Similarities and differences between real and complex Banach spaces: an overview and recent developments
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