the article's always there, isn't it? Nobody says Steve Bell, the cartoonist of Guardian (Mail, Sun, whatever). The question's whether it's seen as part of the name, and therefore gets a capital letter (The Guardian, The Times) or not (the Mirror, the Sun). The Telegraph seems to think "The" isn't part of the Guardian's name; but it is*.
But lynbrown's question is about italics, though.
*Actually, this may be in breach of its own style book, which says they should write "The Archbishop of York" and "The National Lottery".
http://www.telegraph.co.uk/topics/about-us/style-book/1435309/Telegraph-style-book-Cc.html