Banas–Hajnosz–Wedrychowicz type modulus of convexity and normal structure in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0537-2
Abstract: In this paper, we present some sufficient conditions for which the Banach space X has uniform normal structure in terms of the Banas–Hajnosz–Wedrychowicz type modulus of convexity $$SY_X(\epsilon )$$SYX(ϵ), the coefficient of weak orthogonality $$\omega… read more here.
Keywords: wedrychowicz type; modulus convexity; type modulus; hajnosz wedrychowicz ... See more keywords
Uniformly convex renormings and generalized cotypes
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107679
Abstract: We are concerned about improvements of the modulus of convexity by renormings of a super-reflexive Banach space. Typically optimal results are beyond Pisier's power functions bounds $t^p$, with $p \geq 2$, and they are related… read more here.
Keywords: renormings generalized; modulus convexity; generalized cotypes; uniformly convex ... See more keywords