He was born into jewish family. His real name was Alter Milman. During three years he received singing lessons by a Jewish choirmaster and as a member of choir he sang in the synagogue of Odessa. In 1887 he went to Vienna to continue his education. In 1890 he made his debut at the German Theater in Rotterdam, remained there for a season and sang in the 1891-1892 season at the Opernhaus in Düsseldorf. In the 1892-1898 seasons he joined to the Theater in Wroclaw. In 1898 he became a member of the Metropolitan Opera in New York. During the following twelve years he appeared there in a huge number of parts. In the 1899-1903 seasons he made guest appearances at Covent Garden in London. In 1902 he sang at Hofoper in Wien. As a guest Mühlmann also performed at the Court Opera of St. Petersburg. In North America he sang at the opera houses of Boston, Chicago, Pittsburgh and Philadelphia. After ending of his stage career he sat down in Chicago as pedagogue and music critic. His repertoire included Pizarro in ‘’Fidelio’’, Telramund in ‘’Lohengrin’’, Wolfram in ‘’Tannhäuser’’, Kothner in "Meistersingern", Gunther in "Götterdämmerung", father in ‘’Hansel and Gretel’’ etc.
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