$ p $-可和序列空间中的角

IF 1.8 3区 数学 Q1 MATHEMATICS
M. Nur, M. Bahri, A. Islamiyati, Harmanus Batkunde
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引用次数: 0

摘要

本文的目的是研究具有通常范数的$ A $在$ p $ -可和序列空间上的完备性,其中$ A $是$ p $ -可和序列空间和$ 1\le p < \infty $中的子空间。在$ A $上引入了一个新的内积,并用一个新的范数证明了$ A $的完备性。此外,我们还讨论了$ A $中两个向量与两个子空间之间的夹角。特别地,我们讨论了$ 1 $维子空间与$ (s-1) $维子空间之间的夹角,其中$ A $的$ s\ge 2 $。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Angle in the space of $ p $-summable sequences
The aim of this paper is to investigate completness of $ A $ that equipped with usual norm on $ p $-summable sequences space where $ A $ is subspace in $ p $-summable sequences space and $ 1\le p < \infty $. We also introduce a new inner product on $ A $ and prove completness of $ A $ using a new norm that corresponds this new inner product. Moreover, we discuss the angle between two vectors and two subspaces in $ A $. In particular, we discuss the angle between $ 1 $-dimensional subspace and $ (s-1) $-dimensional subspace where $ s\ge 2 $ of $ A $.
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来源期刊
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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