Zobrazeno 1 - 10
of 240
pro vyhledávání: '"Kalton, N."'
Suppose $E$ is fully symmetric Banach function space on $(0,1)$ or $(0,\infty)$ or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on $f\in E$ so that its orbit $\Omega(f)$ is the closed convex hull of its extreme
Externí odkaz:
http://arxiv.org/abs/1003.1817
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
Autor:
Cowell, S. R., Kalton, N. J.
We show that a separable real Banach space embeds almost isometrically in a space $Y$ with a shrinking 1-unconditional basis if and only if $\lim_{n \to \infty} \|x^* + x_n^*\| = \lim_{n \to \infty} \|x^* - x_n^*\|$ whenever $x^* \in X^*$, $(x_n^*)$
Externí odkaz:
http://arxiv.org/abs/0809.2294
We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.
Externí odkaz:
http://arxiv.org/abs/0806.0058
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
A continuous quadratic form ("quadratic form", in short) on a Banach space $X$ is: (a) delta-semidefinite (i.e., representable as a difference of two nonnegative quadratic forms) if and only if the corresponding symmetric linear operator $T\colon X\t
Externí odkaz:
http://arxiv.org/abs/math/0605549
Suppose that we have the unit Euclidean ball in $\R^n$ and construct new bodies using three operations - linear transformations, closure in the radial metric and multiplicative summation defined by $\|x\|_{K+_0L} = \sqrt{\|x\|_K\|x\|_L}.$ We prove th
Externí odkaz:
http://arxiv.org/abs/math/0412371
Autor:
Dykema, K. J., Kalton, N. J.
Let M be a factor of type II_\infty or II_1 having separable predual and let M-bar be the algebra of affiliated \tau-measureable operators. We characterize the commutator space [I,J] for sub-(M,M)-bimodules I and J of M-bar.
Comment: 33 pages
Comment: 33 pages
Externí odkaz:
http://arxiv.org/abs/math/0304319
Autor:
Ivanov, S., Kalton, N.
Publikováno v:
S.Petersburg Math. J. (Algebra i Analiz) v.13, no.2, pp. 93-115
We give precise conditions under which the real interpolation space [Y_0,X_1]_{s,p} coincides with a closed subspace of the corresponding interpolation space [X_0,X_1]_{s,p} when Y_0 is a closed subspace of X_0 of codimension one. This result is appl
Externí odkaz:
http://arxiv.org/abs/math/0104130
Autor:
Kalton, N. J., Litvak, A. E.
We study the existence of cubic quotients of finite-dimensional quasi-normed spaces, that is, quotients well isomorphic to $\ell_{\infty}^k$ for some $k.$ We give two results of this nature. The first guarantees a proportional dimensional cubic quoti
Externí odkaz:
http://arxiv.org/abs/math/0104120