Properties of Suns in the Spaces \(L^1\) and \(C(Q)\)

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2021-09-13 DOI:10.1134/S1061920821030122

I. G. Tsar’kov

引用次数: 7

Abstract

Properties of suns in the spaces \(L^1\) and \(C(Q)\) are studied. It is shown that every boundedly compact sun in \(L^1\) is convex and every boundedly weakly compact sun in \(C(Q)\) is monotone path-connected.

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空间中太阳的性质\(L^1\)和 \(C(Q)\)

研究了太阳在\(L^1\)和\(C(Q)\)空间中的性质。证明了\(L^1\)中每个有界紧致太阳都是凸的，\(C(Q)\)中每个有界弱紧致太阳都是单调路径连通的。

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

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.