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math.FA2026
Nonisomorphic separable Banach spaces at Lipschitz distance one
Ryotaro Tanaka
We construct nonisomorphic separable real Banach spaces whose multiplicative Lipschitz distance is one. Building on OpenAI's graph-space construction, we arrange two sequences of g…
math.FA2021★ 1 cited
On Birkhoff-James orthogonality preservers between real non-isometric Banach spaces
Ryotaro Tanaka
Real smooth three-dimensional or higher Banach spaces are isomorphic with respect to the nonlinear structure of Birkhoff-James orthogonality if and only if they are isometrically i…
math.FA2016★ 43 cited
A solution to Tingley's problem for isometries between the unit spheres of compact C-algebras and JB-triples
Antonio M. Peralta, Ryotaro Tanaka
Let be a surjective isometry between the unit spheres of two weakly compact JB-triples not containing direct summands of rank smaller than or equal to 3. Sup…