2-local isometries between Banach algebras of continuous functions with involution
D Alimohammadi, H Pazandeh�- Banach Journal of Mathematical Analysis, 2020 - Springer
D Alimohammadi, H Pazandeh
Banach Journal of Mathematical Analysis, 2020•SpringerWe give a description of 2-local real isometries between C (X, τ) C (X, τ) and C (Y, η) C (Y, η)
where X and Y are compact Hausdorff spaces, X is also first countable and τ τ and η η are
topological involutions on X and Y, respectively. In particular, we show that every 2-local real
isometry T from C (X, τ) C (X, τ) to C (Y, η) C (Y, η) is a surjective real linear isometry
whenever X is also separable.
where X and Y are compact Hausdorff spaces, X is also first countable and τ τ and η η are
topological involutions on X and Y, respectively. In particular, we show that every 2-local real
isometry T from C (X, τ) C (X, τ) to C (Y, η) C (Y, η) is a surjective real linear isometry
whenever X is also separable.
Abstract
We give a description of 2-local real isometries between and where X and Y are compact Hausdorff spaces, X is also first countable and and are topological involutions on X and Y, respectively. In particular, we show that every 2-local real isometry T from to is a surjective real linear isometry whenever X is also separable.
Springer