Multiplicative isometries on the Smirnov class
Osamu Hatori, Yasuo Iida
TL;DR
This paper characterizes all surjective multiplicative isometries on the Smirnov class over the ball and polydisk, providing a complete description of their forms.
Contribution
It offers a comprehensive description of the structure of surjective multiplicative isometries on the Smirnov class, extending understanding in complex analysis.
Findings
Forms of surjective multiplicative isometries are fully characterized.
Results apply to the Smirnov class on both the ball and the polydisk.
Provides foundational insights into isometries in function spaces.
Abstract
The forms of surjective multiplicative isometries from the Smirnov class on the ball and the polydisk are given.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Topics in Algebra · Advanced Algebra and Geometry