Automatic Continuity of Dense Range Homomorphisms into Multiplicatively Semisimple Complete Normed Algebras

The following open problem state that: If  is a dense range homomorphism from Banach algebra into Banach algebra  such that  is semisimple. Is  automatically continuous? (see[1])<br /> In [5] given a partial solution of the above problem as follows:<br /> Let and  be a Fréchet algebras s...

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Bibliographic Details
Main Author: RUQAYAH BALO
Format: Article
Language:Arabic
Published: College of Education for Pure Sciences 2014-03-01
Series:مجلة التربية والعلم
Subjects:
Online Access:https://edusj.mosuljournals.com/article_161566_5154582562e8234060ee941d5c47c2ee.pdf