Zobrazeno 1 - 10
of 281
pro vyhledávání: '"LANCIEN, G."'
We study four asymptotic smoothness properties of Banach spaces, denoted $\textsf{T}_p,\textsf{A}_p, \textsf{N}_p$ and $\textsf{P}_p$. We complete their description by proving the missing renorming theorem for $\textsf{A}_p$. We prove that asymptotic
Externí odkaz:
http://arxiv.org/abs/2110.06710
Autor:
Brooker, P. A. H., Lancien, G.
We prove that if $Y$ is a closed subspace of a Banach space $X$ such that $Y$ and $X/Y$ admit an equivalent asymptotically uniformly smooth norm, then $X$ also admits an equivalent asymptotically uniformly smooth norm. The proof is based on the use o
Externí odkaz:
http://arxiv.org/abs/1209.1567
Recently, Lima and Randrianarivony pointed out the role of the property $(\beta)$ of Rolewicz in nonlinear quotient problems, and answered a ten-year-old question of Bates, Johnson, Lindenstrauss, Preiss and Schechtman. In the present paper, we prove
Externí odkaz:
http://arxiv.org/abs/1209.0501
Publikováno v:
Studia Math. 199 (2010), no. 1, 73-94
We show that if the Szlenk index of a Banach space $X$ is larger than the first infinite ordinal $\omega$ or if the Szlenk index of its dual is larger than $\omega$, then the tree of all finite sequences of integers equipped with the hyperbolic dista
Externí odkaz:
http://arxiv.org/abs/0912.5113
Publikováno v:
Journal of the American Mathematical Society, 2018 Jul 01. 31(3), 699-717.
Externí odkaz:
https://www.jstor.org/stable/90021422
Autor:
Kalton, N. J., Lancien, G.
We answer a question of Aharoni by showing that every separable metric space can be Lipschitz 2-embedded into $c_0$ and this result is sharp; this improves earlier estimates of Aharoni, Assouad and Pelant. We use our methods to examine the best const
Externí odkaz:
http://arxiv.org/abs/0708.3924
Autor:
Kalton, N. J., Lancien, G.
We investigate the problem of $L^p$-maximal regularity on Banach spaces having a Schauder basis. Our results improve those of a recent paper.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/math/0010156
We prove some rather precise renorming theorems for Banach spaces with Szlenk index $\omega_0$. We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.
Comment: 28 pages
Comment: 28 pages
Externí odkaz:
http://arxiv.org/abs/math/9911017
We show that the class of subspaces of c_0 is stable under Lipschitz isomorphisms. The main corollary is that any Banach space which is Lipschitz isomorphic to c_0 is linearly isomorphic to c_0.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/math/9911016
Autor:
Kalton, N. J., Lancien, G.
We give a negative solution to the problem of the $L^p$-maximal regularity on various classes of Banach spaces including $L^q$-spaces with $1Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/math/9910122