Rudin [4] proved the existence of Haar measures on compact Hausdorff topological groups by means of the Kakutani fixed-point theorem. In this note, we extend Rudin’s idea so as to cover the case of locally compact groups.

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Existence of Haar Measures: A Note on Rudin’s Fixed-Point Approach

  • Toru Maruyama

摘要

Rudin [4] proved the existence of Haar measures on compact Hausdorff topological groups by means of the Kakutani fixed-point theorem. In this note, we extend Rudin’s idea so as to cover the case of locally compact groups.