Automatic continuity, bases and radicals in the metrized algebras

• Date: 1992
• Main Authors: Plichko , A. M., Плічко , А. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8046
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The automatic continuity of a linear multiplicative operator T: X→Y, where X and Y are real complete metrizable algebras and Y semi-simple, is proved. It is shown that a complex Frechét algebra with absolute orthogonal basis (xi) (orthogonal in the sense that xixj=0 if i ≠ j) is a commutative symmet...