M. Nur, M. Bahri, A. Islamiyati, Harmanus Batkunde
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引用次数: 0
Abstract
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 $.
本文的目的是研究具有通常范数的$ 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 $。
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.