A Friedrichs angle between the Nyman-Beurling spaces and the Riemann hypothesis

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2026-08-01 Epub Date: 2026-02-06 DOI:10.1016/j.jmaa.2026.130494

Jongho Yang

引用次数: 0

Abstract

The completeness property of the Nyman-Beurling space is closely related to the Riemann hypothesis. Within this context, we consider the Friedrichs angle between two subspaces of the Nyman-Beurling space. We prove that if the Riemann hypothesis is true, then the Friedrichs angle between the subspaces is zero. Moreover, we present an unexpected result that holds regardless of the truth of the Riemann hypothesis.

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尼曼-伯林空间与黎曼假设之间的弗里德里希角

尼曼-伯林空间的完备性与黎曼假设密切相关。在此背景下，我们考虑了Nyman-Beurling空间的两个子空间之间的Friedrichs角。我们证明了如果黎曼假设成立，则子空间之间的弗里德里希角为零。此外，我们提出了一个意想不到的结果，不管黎曼假设的真实性如何。

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.