Distance between two resolvent families

IF 1 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-09-13 DOI:10.1007/s43034-025-00471-z

Chen-Yu Li

引用次数: 0

Abstract

This paper investigates the asymptotic behavior of fractional resolvent families in Banach spaces. We establish new results on operator equivalence under asymptotic approximation conditions, develop stability criteria for resolvent families, and extend Datko’s theorem to the fractional setting. The main technical tools include spectral theory, Laplace transform methods, and refined estimates of Mittag-Leffler functions.

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两个有解决能力的家庭之间的距离

研究了Banach空间中分数可解族的渐近性。在渐近逼近条件下建立了算子等价的新结果，给出了可解族的稳定性判据，并将Datko定理推广到分数集。主要的技术工具包括谱理论、拉普拉斯变换方法和米塔格-莱弗勒函数的精细估计。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.