A THEOREM OF TYPE “PARTITION OF UNITY” WITH

IF 0.2 4区数学 Q4 MATHEMATICS

Mathematical Reports Pub Date : 2023-01-01 DOI:10.59277/mrar.2023.25.75.3.441

ILEANA BUCUR, GAVRIIL PALTINEANU

引用次数: 0

Abstract

In the first part of the paper, we present a theorem of type “partition of unity”, and three of its consequences, i.e., for algebras, linear subspaces and convex cones. In the second part, some theorems of localizability (or density) in a weighted space are presented. We mention that the weighted spaces are classes of continuous scalar functions on a locally compact space (for example, the space of function with compact support, the space of bounded functions, the space of functions vanishing at infinity, the space of functions rapidly decreasing at infinity).

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的“单位分割”型定理

在本文的第一部分，我们给出了一个“单位分割”型定理，以及它的三个结果，即代数、线性子空间和凸锥。在第二部分，给出了加权空间中可域性(或密度)的一些定理。我们提到了加权空间是局部紧化空间上的连续标量函数的类(例如，紧支持函数的空间，有界函数的空间，在无穷远处消失的函数的空间，在无穷远处速降的函数的空间)。

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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来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.