4 papers
Surjective isometries on the positive parts of the unit spheres of some function spaces
Yuta Enami, Daisuke Hirota, Hironao Koshimizu +1
We consider the space of continuously differentiable functions on the closed unit interval and the space of Lipschitz continuous fun…
Globalization of local sign structures for phase-isometries on uniform algebras
Yuta Enami, Daisuke Hirota, Izuho Matsuzaki +1
We study surjective phase-isometries between the unit spheres of uniform algebras. Although such maps preserve maximal convex sets up to signs, the resulting local sign ambiguity p…
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…
Range preserving maps between the spaces of continuous functions with values in a locally convex space
Yuta Enami
Let be the linear space of all continuous functions on a compact Hausdorff space with values in a locally convex space . We characterize maps w…