During the early 1800s his income came from publishing his works, from performances of them, and from his patrons, for whom he gave private performances and copies of works they commissioned for an exclusive period prior to their publication. Some of his early patrons, including Prince Lobkowitz and Prince Lichnowsky, gave him annual stipends in addition to commissioning works and purchasing published works. Perhaps his most important aristocratic patron was Archduke Rudolf of Austria, Archbishop of Olomouc and Cardinal-Priest, and the youngest son of Emperor Leopold II, who is 1803 or 1804 began to study piano and composition with him. They became friends, and their meetings continued until 1824. Beethoven was to dedicate 14 compositions to Rudolph, including the Archduke Trio Op. 97 (1811) and Missa Solemnis Op. 123 (1823).
The peace with Britain proved to be uneasy and controversial. Britain did not evacuate Malta as promised and protested against Bonaparte's annexation of Piedmont and his Act of Mediation, which established a new Swiss Confederation. Neither of these territories were covered by Amiens, but they inflamed tensions significantly. The dispute culminated in a declaration of war by Britain in May 1803; Napoleon responded by reassembling the invasion camp at Boulogne.
Seeing the failure of his colonial efforts, Napoleon decided in 1803 to sell the Louisiana Territory to the United States, instantly doubling the size of the U.S. The selling price in the Louisiana Purchase was less than three cents per acre, a total of $15 million.
Beethoven’s return to Vienna from Heiligenstadt was marked by a change in musical style and is now often designated as the start of his middle or "heroic" period characterized by many original works composed on a grand scale. According to Carl Czerny, Beethoven said, "I am not satisfied with the work I have done so far. From now on I intend to take a new way." An early major work employing this new style was the Third Symphony in E flat Op. 55, known as the Eroica, written in 1803-4. The idea of creating a symphony based on the career of Napoleon may have been suggested to Beethoven by Count Bernadotte in 1798.