Almost Fréchet Differentiability of Lipschitz Mappings Between Infinite‐Dimensional Banach Spaces

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A new metric invariant for Banach spaces (2009, background): “Asymptotic properties have been intensively studied in [9], [7] and [20] and we refer to [11] for a precise definition of the asymptotic structure of a Banach space.”
The non-linear geometry of Banach spaces after Nigel Kalton (2012, background): “( Actually, if a separable reﬂexive Banach space has equivalent norms with moduli of asymptotic convexity and smoothness of power type p , then it is isomorphic to a subspace of an l p -sum of ﬁnite dimensional spaces [48].”
Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (2012, background): “However, existence of points of "-Fr´echet dierentiability of Lipschitz maps from super-reflexive spaces into finite dimensional spaces was shown in [4] and this result was extended to asymptotically uniformly smooth spaces in [ 3 ].”
On Fréchet differentiability of Lipschitz maps between Banach spaces (2004, background): “As remarked in [5] the Schreier space which is the completion of the space of eventually zero sequences {ai} ∞ i=1 with respect to the norm ‖{ai}‖ = sup{ n”