$S_{g}$ spaces and the vanishing of the functor Ext

Zafer Nurlu

Displaying similar documents to “ $S_{g}$ spaces and the vanishing of the functor Ext”

Volume ratios in $L_{p}$ -spaces

Yehoram Gordon, Marius Junge (1999)

Studia Mathematica

Similarity:

There exists an absolute constant $c_{0}$ such that for any n-dimensional Banach space E there exists a k-dimensional subspace F ⊂ E with k≤ n/2 such that $i n f_{e l l i p s o i d ε \subset B_{E}} {(v o l (B_{E}) / v o l (ε))}^{1 / n} \leq c_{0} i n f_{z o n o i d Z \subset B_{F}} {(v o l (B_{F}) / v o l (Z))}^{1 / k}$ . The concept of volume ratio with respect to $ℓ_{p}$ -spaces is used to prove the following distance estimate for $2 \leq q \leq p < \infty$ : $s u p_{F \subset ℓ_{p}, d i m F = n} i n f_{G \subset L_{q}, d i m G = n} d (F, G) \sim_{c_{p q}} n^{(q / 2) (1 / q - 1 / p)}$ .

On an extension of norms from a subspace to the whole Banach space keeping their rotundity

M. Fabian (1995)

Studia Mathematica

Similarity:

Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.

Remark on generalization of Minkowski's inequality

Jiří Jelínek, Janusz Matkowski (1995)

Acta Universitatis Carolinae. Mathematica et Physica

Similarity:

A partial differential operator which is surjective on Gevrey classes $Γ^{d} (ℝ ³)$ with 1 ≤ d < 2 and d ≥ 6 but not for 2 ≤ d < 6

Rüdiger Braun (1993)

Studia Mathematica

Similarity:

It is shown that the partial differential operator $P (D) = \partial ⁴ / \partial x ⁴ - \partial ² / \partial y ² + i \partial / \partial z : Γ^{d} (ℝ ³) \to Γ^{d} (ℝ ³)$ is surjective if 1 ≤ d < 2 or d ≥ 6 and not surjective for 2 ≤ d < 6.

Cavity method in the spherical SK model

Dmitry Panchenko (2009)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We develop a cavity method for the spherical Sherrington–Kirkpatrick model at high temperature and small external field. As one application we compute the limit of the covariance matrix for fluctuations of the overlap and magnetization.

Oscillatory properties of $M (x) = \sum_{n \leq x} μ (n)$ , III

J. Pintz (1984)

Acta Arithmetica

Similarity:

Tusnady's lemma, 24 years later

Pascal Massart (2002)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

On modified Landau polynomials

J. Radecki (1962)

Studia Mathematica

Similarity:

Displaying similar documents to “ S g spaces and the vanishing of the functor Ext”

Displaying similar documents to “ $S_{g}$ spaces and the vanishing of the functor Ext”