性质（D）与几乎有限完全连续算子

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-01-23 DOI:10.1007/s10476-023-0190-x

M. L. Lourenço, V. C. C. Miranda

引用次数: 7

摘要

本文研究Banach格中的一些几何性质和一类几乎有限完全连续算子。例如，我们研究了性质为（d）的Banach格，并根据几乎有限集的实壳给出了这一性质的一个新的刻画。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Property (D) and the Almost Limited Completely Continuous Operators

In this paper, we study some geometric properties in Banach lattices and the class of almost limited completely continuous operators. For example, we study Banach lattices with property (d) and we give a new characterization of this property in terms of the solid hull of almost limited sets.

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.