because Wiener's work on the topic was limited, the established name became just Banach spaces. Likewise, Banach's fixed point theorem, based on earlier methods developed by Charles Émile Picard, was included in his dissertation, and was later extended by his students (for example in the Banach–Schauder theorem) and other mathematicians (in particular Brouwer and Poincaré and Birkhoff). The theorem did not require linearity of the space, and applied to any complete Cauchy space (in particular to any complete metric space). The Hahn–Banach theorem is one of the fundamental theorems of functional analysis. Further theorems related to Banach are: Banach–Tarski paradox Banach–Steinhaus theorem Banach–Alaoglu theorem Banach–Stone theorem Recognition In 1946, the Stefan Banach Prize (Polish: Nagroda im. Stefana Banacha) was established by the Polish Mathematical Society. In 1992, the Institute of Mathematics of the Polish Academy of Sciences established a special Stefan Banach Medal for outstanding achievements in mathematical sciences. Since 2009, the International Stefan Banach Prize has been conferred by the Polish Mathematical Society to mathematicians for best doctoral dissertations in the mathematical sciences with the objective to "promote and financially support the most promising young researchers". Stefan Banach is the patron of a number of schools and streets including in Warsaw, Lviv, Świdnica, Toruń and Jarosław. In 2001, a minor planet 16856 Banach, discovered by Paul Comba in 1997, was named after him. In 2012, the National Bank of Poland celebrated the mathematician's achievements by issuing a series of commemorative coins designed by Robert Kotowicz (golden 200-zloty coin, silver 10-zloty coin and Nordic Gold 2-zloty coin). In 2016, a commemorative bench featuring Banach and Otto Nikodym was unveiled in Kraków's Planty Park on the 100th anniversary of the conversation the two mathematicians held when they first met Hugo Steinhaus, which proved instrumental in the development of his scientific career. In 2021, one of the episodes of Polish documentary TV series Geniusze i marzyciele (Geniuses and Dreamers) aired on TVP1 and TVP Dokument channels was devoted to Stefan Banach. In 2022, Google Doodle commemorated the 100th anniversary of Banach receiving his title of professor. Quotes Stanislaw Ulam, another mathematician of the Lwów School of Mathematics, in his autobiography, quotes Banach as saying: Hugo Steinhaus said of Banach: See also References Citations Sources Further reading External links Page devoted to Stefan Banach 1892 births 1945 deaths Scientists from Kraków People from the Kingdom of Galicia and Lodomeria Polish Gorals Polish Roman