The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l1(Γ) Type Spaces and The Application to the Isometric Extension Problem

By Guanggui Ding. 2004

54 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a5ca3b09d80776c06d0208ce9144cd6e5a4d1674

Citations in the corpus

• Low rank compact operators and Tingley's problem (2016, unknown): “spaces. In an interesting series of papers, G.G. Ding proved that Tingley’s problem admits a positive answer for every surjective isometry f : S(ℓp(Γ)) → S(ℓp(∆)) with 1 ≤ p ≤ ∞ (see [10, 11, 12] and [13]). More recently, D. Tan showed that the same conclusion remains true for every surjective isome”