Stanislaw Mazur

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Stanislaw Mazur

Stanisław Mieczysław Mazur (born January 1, 1905 in Lviv ; † November 5, 1981 in Warsaw ) was a Polish mathematician at the Lviv Mathematician School and a member of the Polska Akademia Nauk .

Mazur studied mathematics at Jan Kazimierz University in Lemberg and Paris from 1923 to 1926. From 1926 to 1935 he was an assistant at the chair for mathematical analysis under Stefan Banach and received his doctorate in 1935. He made an important contribution to, among other things, geometric methods of linear and non-linear functional analysis and to Banach algebras . He was one of the authors of the Scottish Book and a close collaborator of Banach in the Lviv Mathematician School (since he spoke German better than Banach, he also revised his work published in German) and in the discussion groups in the Scottish Café. One of the problems he posed was the basic problem for Banach rooms, which he posed in 1936 (No. 153 in the Scottish Book) and for the solution of which he offered a live goose. 37 years later, he presented a goose to Per Enflo when he solved the problem in 1972. In 1936 he completed his habilitation and taught in Lemberg. From 1948 Mazur worked at the University of Warsaw . He had been a member of the Communist Party since the 1930s and held high positions as a science organizer in Poland.

In 1932 he announced the ergodic set in Banach rooms, only published in 1938 by Shizuo Kakutani and Kōsaku Yosida . He also studied probability theory, summability theory, and recursive functions, and was a pioneer in infinite games. Some of his results on functional analysis were also incorporated into Banach's work, often without explicitly mentioning the authorship (for example the weak basic sentence in Banach's theory of operations lineaires ).

In 1936 he was invited to speak with Juliusz Schauder at the International Congress of Mathematicians in Oslo.

In 1980 he was awarded an honorary doctorate from the University of Warsaw and in 1978 an honorary member for life of the Polish Mathematical Society.

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