The uniform zero-two law for positive operators in Banach lattices

Michael Lin

Displaying similar documents to “The uniform zero-two law for positive operators in Banach lattices”

Finite-dimensional Banach spaces with symmetry constant of order √n

P. Mankiewicz (1984)

Studia Mathematica

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

M. Fabian (1995)

Studia Mathematica

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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.

On the Euclidean minimum of some real number fields

Eva Bayer-Fluckiger, Gabriele Nebe (2005)

Journal de Théorie des Nombres de Bordeaux

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General methods from [3] are applied to give good upper bounds on the Euclidean minimum of real quadratic fields and totally real cyclotomic fields of prime power discriminant.

Berry–Esseen theorem and local limit theorem for non uniformly expanding maps

Sébastien Gouëzel (2005)

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

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Volume ratios in $L_{p}$ -spaces

Yehoram Gordon, Marius Junge (1999)

Studia Mathematica

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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 $2 \leq q \leq p < \infty$ : $s u p_{F \subset ℓ_{p}, d i m F = n} i n f_{G \subset L_{q}, d i m G = n} d (F, G) \sim_{c_{p q}} n^{(q / 2) (1 / q - 1 / p)}$ .

A factorization theorem in Banach lattices and its application to Lorentz spaces

Sholomo Reisner (1981)

Annales de l'institut Fourier

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$p$ -convexity and $q$ -concavity of a Banach lattice $L$ are characterized by factorization of multiplication operators from $L_{q}$ into $L_{p}$ through $L$ . This characterization is applied to calculate the concavity type of Lorentz spaces.

Geometric probabilities for non convex lattices. II

Andrei Duma, Marius Stoka (2002)

Bollettino dell'Unione Matematica Italiana

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We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.

Displaying similar documents to “The uniform zero-two law for positive operators in Banach lattices”

Finite-dimensional Banach spaces with symmetry constant of order √n

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

On the Euclidean minimum of some real number fields

Berry–Esseen theorem and local limit theorem for non uniformly expanding maps

Volume ratios in L p -spaces

A factorization theorem in Banach lattices and its application to Lorentz spaces

Geometric probabilities for non convex lattices. II

Volume ratios in $L_{p}$ -spaces