Asymptotic and coarse Lipschitz structures of quasi-reflexive Banach spaces

2017/05/01 by Lancien, Gilles, Raja, Matias · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1705.00577

Abstract

In this note, we extend to the setting of quasi-reflexive spaces a classical result of N. Kalton and L. Randrianarivony on the coarse Lipschitz structure of reflexive and asymptotically uniformly smooth Banach spaces. As an application, we show for instance, that for 1≤ q

Cited by

• On the uniform continuity of homeomorphisms between the spheres of ℓ_∞^k and ℓ₁^k

Related

• Some properties of coarse Lipschitz maps between Banach spaces
• Asymptotic coarse Lipschitz equivalence
• Hamming graphs and concentration properties in non-quasi-reflexive Banach spaces
• Asymptotic smoothness in Banach spaces, three space properties and applications
• On asymptotically uniformly smoothness and nonlinear geometry of Banach spaces