弱A型框架和弱A型半框架

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2020-12-16 DOI:10.33205/CMA.835582

J. Antoine, G. Bellomonte, C. Trapani

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引用次数: 3

摘要

在考察了框架和下半框架之间的相互作用后，我们引入了由稠密定义算子$a$或简称为弱下$a$-半框架控制的下半框架的概念，并研究了它的性质。特别是，我们将其与在\cite{GB}中介绍的较低原子系统的原子系统进行了比较。我们讨论了对偶性质，并提出了弱$A$-上半框架的几个可能定义。给出了具体的例子。

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Weak A-frames and weak A-semi-frames

After reviewing the interplay between frames and lower semi-frames, we introduce the notion of lower semi-frame controlled by a densely defined operator $A$ or, for short, a \emph{weak lower $A$-semi-frame} and we study its properties. In particular, we compare it with that of lower atomic systems, introduced in \cite{GB}. We discuss duality properties and we suggest several possible definitions for weak $A$-upper semi-frames. Concrete examples are presented.

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks