A Denjoy-Wolff theorem for bounded symmetric domains

Q: What type of study is this?

This is a Quantitative Study study.

Cho-Ho Chu

doi:10.48550/arxiv.2508.05767

August 7, 2025Open Access

A Denjoy-Wolff theorem for bounded symmetric domains

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Key Points

This theorem extends results from complex analysis to broader geometric contexts involving Banach spaces.
The Denjoy-Wolff theorem traditionally applicable to the complex unit disc now encompasses finite rank bounded symmetric domains.
The findings may enable further development in complex analysis and functional analysis domains.
This research uncovers connections between fixed-point theory and geometric structures in complex spaces.

Implication

This work demonstrates that the Denjoy-Wolff theorem applies to holomorphic self-maps, indicating new insights for bounded symmetric domains.

Abstract

We generalise the Denjoy-Wolff theorem for a fixed-point free holomorphic self-map on the complex unit disc to bounded symmetric domains of finite rank in complex Banach spaces.

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Cite This Study

Cho-Ho Chu (2025) studied this question.

synapsesocial.com/papers/68f0f51d8dd8ea469b1d708d https://doi.org/10.48550/arxiv.2508.05767

View Full Paper

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A Denjoy-Wolff theorem for bounded symmetric domains

Key Points

Implication

Abstract

Discussion

Cite This Study

A Denjoy-Wolff theorem for bounded symmetric domains

Key Points

Implication

Abstract

Discussion

Cite This Study

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