The most famous and most widely performed of the ten violin sonatas, the ninth is dedicated to Rodolphe Kreutzer. It is also often considered the most technically difficult sonata. Notably, Kreutzer detested the piece and would not perform it.
Beethoven referred to the piece as "Grande Sonata" as well as "Sonata per il Pianoforte ed uno violino obligato in uno stile molto concertante come d’un concerto". It's last movement was initially intended for the sixth sonata opus 30. The piece was first dedicated to violinist George Augustus Polgreen Bridgetower, who had premiered it with Beethoven in May of 1803 at the Augarten park in Austria. Mr. Bridgetower maintained that the dedication changed due to a disputation. In 1805 it was published by Simrock and Traeg with the new dedication. It may be of interest to know that Beethoven appears to have arranged this sonata for string quintet. Other arrangers worthy of mention include Carl Czerny (cello & piano), Leopold Godowsky and Louis Winkler for piano solo, and Pyotr Tchaikovsky for orchestra (the first movement).