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arXiv · 2210.16759

Fixed points and normal automorphisms of the unit ball of bounded operators on $\mathbb{C}^n$

Rachna Aggarwal·Krishnendu Gongopadhyay·Mukund Madhav Mishra
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Abstract

We examine the group of isometries of the open unit ball of a complex Banach space of certain bounded linear operators equipped with the Carath\'eodory metric. Therein we obtain a charactrization of the normal isometries in terms of their special type of fixed points.

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Rachna Aggarwal, Krishnendu Gongopadhyay, Mukund Madhav Mishra. 2022-10-30. Fixed points and normal automorphisms of the unit ball of bounded operators on $\mathbb{C}^n$. https://doi.org/10.1007/s43037-023-00255-4

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