18 citations · 39 across the 7 of their papers we have counts for
6 papers · 1 filter
Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition
David Cabezas, María Cueto-Avellaneda, Yuta Enami +2
In 2022, Hatori gave a sufficient condition for complex Banach spaces to have the complex Mazur--Ulam property. In this paper, we introduce a class of complex Banach spaces tha…
Every commutative JB-triple satisfies the complex Mazur--Ulam property
David Cabezas, María Cueto-Avellaneda, Daisuke Hirota +2
We prove that every commutative JB-triple satisfies the complex Mazur--Ulam property. Thanks to the representation theory, we can identify commutative JB-triples as spaces…
Exploring new solutions to Tingley's problem for function algebras
María Cueto-Avellaneda, Daisuke Hirota, Takeshi Miura +1
In this note we present two new positive answers to Tingley's problem in certain subspaces of function algebras. In the first result we prove that every surjective isometry between…
Surjective isometries on a Banach space of analytic functions with bounded derivatives
Takeshi Miura, Norio Niwa
Let be the linear space of all analytic functions on the open unit disc and the Hardy space on . The characterization of…
Polynomially spectrum-preserving maps between commutative Banach algebras
Osamu Hatori, Takeshi Miura, Hiroyuki Takagi
Let and be unital semi-simple commutative Banach algebras. In this paper we study two-variable polynomials which satisfy the following property: a map from onto…
Multiplicatively spectrum-preserving and norm-preserving maps between invertible groups of commutative Banach algebras
Osamu Hatori, Takeshi Miura, Hiroyuki Takaggi
Let and be unital semisimple commutative Banach algebras and a map from the invertible group onto . Linearity and multiplicativity of the map are not a…