BBC World is not Five.
My tinyURL link goes to the Wikipedia page for Five. DU eats the Wikipedia link for Five because of the underscore and parentheses. This link also redirects to the correct Wikipedia page:
http://en.wikipedia.org/wiki/Channel_FiveFive is currently owned by the RTL group (which is in turn majority owned by Bertelsmann).
The site you referenced refers to the fact that BBC World contracts with the private company Pearson PLC for broadcasting facilities because, for whatever reason, the BBC's facilities at Elstree were not available. In any case, I'm not sure that information is still accurate, although likely would have been true in 2001. See:
Pearson was founded by Samuel Pearson in 1844 as a building and engineering company called S. Pearson & Son. In 1880, control passed to his grandson Weetman, an engineer who turned it into one of the world's largest construction companies. By 1920, it was a holding company with businesses in building, oil drilling and refining, and finance. That year, it purchased a number of local newspapers in Britain, which it combined to form the Westminster Press. In 1957, it bought the Financial Times and a 50% stake in The Economist. In 1968, it purchased the publisher Longman in 1971 the Penguin Group, and the Education business of Simon & Schuster in 1998.
At the end of the 1980s, Pearson participated in the British Satellite Broadcasting consortium. BSB, choosing expensive methods and technology, was superseded by Rupert Murdoch's Sky Television, which used proven technology and leased transponders on Astra satellites. This allowed Sky to gain an important foothold in the multichannel market and the eventual "merger" was effectively a takeover by Sky, the new company was renamed British Sky Broadcasting (BSkyB) in late 1990.
During the 1990s, Pearson acquired a number of TV production and broadcasting assets and rid itself of most of its non-media assets. In January 2003, Pearson sold their 22% stake in RTL Group, the largest commercial television and radio broadcaster in the EU.http://en.wikipedia.org/wiki/Pearson_PLC#History