✦ LIBER ✦

Asymptotic domination of operators on Köthe function spaces and convergence of sequences

✍ Scribed by E. A. Sánchez Pérez

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 207 KB
Volume: 279
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410448

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We study the asymptotic behavior of Maurey–Rosenthal type dominations for operators on Köthe function spaces which satisfy norm inequalities that define weak q ‐concavity properties. In particular, we define and study two new classes of operators that we call α ‐almost q ‐concave and q~α~ ‐concave operators (1 ≤ q < ∞, 0 ≤ α < 1). We also provide a factorization theorem through real interpolation spaces for q~α~ ‐concave operators. We also discuss some direct consequences of these results regarding the strong convergence of sequences on Köthe function spaces. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Convergence to Normality of the Asymptot

Convergence to Normality of the Asymptotic Quasi-Score Function on a Linear Model

✍ Sifa Mvoi; Yan-Xia Lin 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 180 KB 👁 3 views

The asymptotic quasi-likelihood method is considered for the model y t f t q M t ; t 0; 1; . . . ; T where f t q is a linear predictable process of the parameter of interest q, M t is a martingale difference, and the nature of EM 2 t j p tÀ1 is unknown. This paper is concerned with the limiting dist

An Improved Estimate of the Rate of Conv

An Improved Estimate of the Rate of Convergence of the Integrated Meyer-König and Zeller Operators for Functions of Bounded Variation

✍ E.R. Love; G. Prasad; A. Sahai 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 301 KB

On weakly convergent sequences in Banach

On weakly convergent sequences in Banach function spaces and the initial-boundary value problems for non-linear Klein–Gordon–Schrödinger equations

✍ Wang Baoxiang 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB 👁 2 views

In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ¸N #¸N (1(p , p (R) is weakly co