New Proof of the Ostapenko–Tarasov Theorem

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-15 DOI:10.1134/s0001434624050341

R. Tapdigoglu, M. Garayev

引用次数: 0

Abstract

We give a new proof of the Ostapenko–Tarasov unicellularity theorem for the classical Volterra integration operator on the space \(C^{(n)}[0,1]\).

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奥斯塔彭科-塔拉索夫定理的新证明

摘要我们给出了经典 Volterra 积分算子在空间 \(C^{(n)}[0,1]\) 上的 Ostapenko-Tarasov 单胞性定理的新证明。

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

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.