一些经典算子的平方根

IF 0.7 3区数学 Q2 MATHEMATICS

Studia Mathematica Pub Date : 2021-09-28 DOI:10.4064/sm210928-19-9

J. Mashreghi, M. Ptak, W. Ross

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引用次数: 4

摘要

在本文中，我们给出了某些经典算子的平方根集的完整描述，并经常提供特定的公式。本讨论中包括的经典算子是单侧移位的平方、Volterra算子、某些压缩移位、单侧移位及其伴随、Hilbert矩阵和Cesàro算子。

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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The square roots of some classical operators

In this paper we give complete descriptions of the set of square roots of certain classical operators, often providing specific formulas. The classical operators included in this discussion are the square of the unilateral shift, the Volterra operator, certain compressed shifts, the unilateral shift plus its adjoint, the Hilbert matrix, and the Cesàro operator.

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.