arXiv:2210.16759 Abstract | arXiv Analytics

arXiv:2210.16759 [math.FA]Abstract References Reviews Resources

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

Rachna Aggarwal, Krishnendu Gongopadhyay, Mukund Madhav Mishra

Published 2022-10-30Version 1

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.

Categories: math.FA, math.MG

Subjects: 32M15, 47B02, 47B15, 47B91

Keywords: fixed points, normal automorphisms, bounded operators, complex banach space, open unit ball

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