2-*内积空间上的一类标准正交基

IF 0.4 4区数学 Q4 MATHEMATICS Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-12-17 DOI:10.1556/012.2020.57.4.1480

B. M. Najmabadi, T. L. Shateri, G. Sadeghi

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引用次数: 1

摘要

本文定义了2-*内积空间的一个标准正交基，得到了一些有用的结果。此外，我们在2 *内积空间的密集子集上引入了2-范数。最后，我们得到了a -2内积空间中Selberg、Buzano和Bessel不等式的一个版本及其结果。

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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A Type of Orthonormal Bases on 2-*-Inner Product Spaces

In this paper, we deﬁne an orthonormal basis for 2-*-inner product space and obtain some useful results. Moreover, we introduce a 2-norm on a dense subset of a 2-*-inner product space. Finally, we obtain a version of the Selberg, Buzano’s and Bessel inequality and its results in an A-2-inner product space.

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.

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