On generalized J{\o}rgensen inequality in infinite dimension
Krishnendu Gongopadhyay
TL;DR
This paper proves that a generalized Jørgensen inequality in infinite-dimensional Möbius groups is strict, extending previous results and clarifying the inequality's nature in higher dimensions.
Contribution
It demonstrates the strictness of Li's infinite-dimensional Jørgensen inequality, providing a significant refinement of the existing theoretical framework.
Findings
The inequality is strict in the infinite-dimensional case.
Extension of Jørgensen inequality to infinite dimensions.
Clarification of the inequality's properties in higher-dimensional groups.
Abstract
In New York J. Math. 17 (2011), 41--49, Li has obtained an analogue of the J{\o}rgensen inequality in the infinite-dimensional M\"obius group. We show that this inequality is strict.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Probabilistic and Robust Engineering Design