商Banach代数中的孤立谱点和Koliha-Drazin可逆元及同态范围

Mathematical Proceedings of the Royal Irish Academy Pub Date : 2014-03-14 DOI:10.3318/PRIA.2015.115.12

Enrico Boasso

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引用次数: 25

摘要

本文利用Fredholm和Riesz Banach代数元对商Banach代数中的极点、孤立谱点、群、Drazin和Koliha-Drazin可逆元或复一元Banach代数之间(不一定是连续的)同态范围中的可逆元进行了刻画。还将讨论Banach和Hilbert空间上的Calkin代数。

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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Isolated spectral points and Koliha-Drazin invertible elements in quotient Banach algebras and homomorphism ranges

In this article poles, isolated spectral points, group, Drazin and Koliha-Drazin invertible elements in the context of quotient Banach algebras or in ranges of (not necessarily continuous) homomorphism between complex unital Banach algebras will be characterized using Fredholm and Riesz Banach algebra elements. Calkin algebras on Banach and Hilbert spaces will be also considered.

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Mathematical Proceedings of the Royal Irish Academy

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