Topological group of continuous complex functions. | [Pakistan journal of scientific research • 1993]

Author(s):

1. M. Iftikhar Ahmad: Mathematics Department, Punjab University, Lahore, Pakistan

2. Abdul Rauf Khan: Mathematics Department, AJ & K University, Muzaffarabad, Pakistan, Azad kashmir, Pakistan

Abstract:

In this paper it is shown that for a Typological Group of all the continuous complex functions under the operation of composition on the closed unit disc and automorphism of the topological Group considered, the closed unit disc is mapped homeomorphically onto itself. Moreover, if the poincare - Bergman metric remains constant under this automorphism then the homeomorphism is conformal.

Page(s): 19-22

DOI: DOI not available

Published: Journal: Pakistan journal of scientific research, Volume: 22, Issue: 1, Year: 1993

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