ON THE PRODUCT OF RIESZ SETS IN DUAL OBJECTS OF COMPACT GROUPS

This is the proceedings of the 2nd Japanese-German Symposium on Infinite Dimensional Harmonic Analysis held from September 20th to September 24th 1999 at the Department of Mathematics of Kyoto University.この論文集は, 1999年9月20日から9月24日の日程で京都大学理学研究科数学教室において開催された第2回日独セミナー「無限次元調和解祈」の成果をもとに編集されたものである.編集 : ハーバート・ハイヤー, 平井 武, 尾畑 信明Editors: Herbert Heyer, Takeshi Hirai, Nobuaki Obata #enLet Ei be a Riesz set in the dual object of a compact group Ki(i = 1, 2). We show that the product set E₁ x E₂ is a Riesz set in the dual object of K₁ x K₂. We also give a result on compact groups related to a result of Glicksberg and Graham concerned with "small p set"

Foundations of Development: Perceptions of Character and Leadership Development in Collegieate Judo Student Athletes

Sports have been a tool for development within educational institutions for decades. In the United States, around 8 million high school students participate in high school sports. Very few go on to play for University Athletic Departments. Out of the 8 million students, only 495,000 (6.1%) of them will compete at NCAA schools (NCAA, 2020). Though the probability of competing in the NCAA\u27s elite divisions is low, university students have plenty of opportunities to play and compete in sports via club/recreational sports programs, intramurals, and physical education courses. Estimates show that over 2 million higher education students in the United States engage in club/recreational sports (Pennington, 2008). Most researchers focus on how club/recreational sports participation retains students at their institution; however, researchers have offered minimal data on club/recreational sports and their relation to college students\u27 growth and development. It is the duty of universities to positively develop young people for successful futures. Outside of the lecture halls, millions of students engage in recreational sports clubs. Does involvement in recreational sports clubs develop university students in a positive way? If so, does this have any implications on the acquisition of leadership skills and character development? Research is needed on what works and what does not in order to optimize the opportunity for personal and professional growth in students’ lives