Anton Door was an Austrian pianist and music teacher, born in Vienna on June 20, 1833. He studied with Carl Czerny and also studied music theory under Simon Sechter.
From 1850, Door toured Germany and Italy. He later served as court pianist in Stockholm. From 1866 to 1869, he was a professor at the Moscow Conservatory, where he worked alongside Pyotr Tchaikovsky. Tchaikovsky dedicated his Waltz-Caprice, Op. 4 (1868), to Door.
Door returned to Vienna in 1869 and ended his performing career. He taught at the Vienna Conservatory until 1901. He had met Johannes Brahms in 1855 while touring in Gdansk, later became a close friend of his, and published a memoir essay about him in 1903.
Door's students included Alexander von Zemlinsky, Pavel Pabst, Rubin Goldmark, Emanuel Moór, Karl Weigl, and Fritz Steinbach. He also edited an edition of Franz Schubert's piano works. Door died in Vienna on November 7, 1919.