关于局部Ritt可解条件

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-16

Abdellah Akrym, A. El Bakkali

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引用次数: 0

摘要

．设T是复巴拿赫空间X上的一个线性有界算子。在本文中，我们引入了Banach空间算子T的Ritt可解条件[LR]的一个局部版本。我们首先证明这个概念比经典的Ritt条件弱[R]。我们证明了对于具有单值可拓性的算子，估计[LR]以更大的常数扩展到某个扇区K δ。此外，通过将一些Ritt定理推广到具有SVEP算子的局部情形，建立了T n−T n + 1的局部次线性衰减的几个特征。

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On the local Ritt resolvent condition

. Let T be a linear bounded operator on a complex Banach space X . In this paper, we introduce a local version of the Ritt resolvent condition [ LR ] for Banach space operators T . We start by showing that this concept is weaker than the classical Ritt condition [ R ] . We prove that, for operators with single-valued extension property (SVEP), estimate [ LR ] extends, with a larger constant, to some sector K δ . Moreover, by extending some Ritt’s theorems to the local case for operators with the SVEP, several characterizations of the local sublinear decay of T n − T n + 1 have been established.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.