无穷矩阵的Banach代数的范数控制反演

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2020-07-28 DOI:10.5802/crmath.54

Qiquan Fang, C. Shin

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引用次数: 2

摘要

本文给出了1≤q≤∞非对称*−Banach代数B(' q)上Baskakov-Gohberg-Sjöstrand Banach代数的多项式范数控制反演。2020数学学科分类。47G10, 45P05, 47B38, 31B10, 46E30。资金。中国国家科学基金(批准号:11701513、11771399、11571306)和韩国教育科学技术部国家研究基金(NRF)基础科学研究计划(NRF- 2019r1f1a1051712)资助。2020年3月13日收稿，2020年4月10日和2020年4月20日修改，2020年4月20日验收。

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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Norm-Controlled Inversion of Banach algebras of infinite matrices

In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra B(`q ), 1 ≤ q ≤∞, which is not a symmetric ∗− Banach algebra. 2020 Mathematics Subject Classification. 47G10, 45P05, 47B38, 31B10, 46E30. Funding. The project is partially supported by NSF of China (Grant Nos. 11701513, 11771399,11571306) and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2019R1F1A1051712). Manuscript received 13th March 2020, revised 10th April 2020 and 20th April 2020, accepted 20th April 2020.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.