What do some within the party itself think of what Mr Corbyn had to say? Heidi Alexander, the new shadow health secretary, believes he captured the "sense of optimism and enthusiasm" in pursuit of a different approach to politics. Jeremy "was completely true to himself", she says, adding that his message was one of "hope".

Meanwhile, shadow home secretary Andy Burnham - who stood for the Labour leadership - said it remained to be seen whether Mr Corbyn's speech would win over the wider public.

Manufacturers' organisation EEF endorses Jeremy Corbyn's call for "a more balanced economy" and greater infrastructure investment. But chief executive Terry Scuoler cautions that the "these policies can only be developed by an economy based on private sector growth and one which pays its way in the world".

"The speech of a real leader," is the view taken by Mark Serwotka, general secretary of the Public and Commercial Services union.

Some more reaction to Jeremy Corbyn's speech coming in. Unite leader Len McCluskey thought it was "inspirational" and marked a new style of politics.

British Chambers of Commerce director general John Longworth said the Labour leader was right to warn about the "unbalanced" economic recovery and to call for "a more proactive approach to infrastructure investment".

But while business may agree with his diagnosis of the economy "they "disagree with his proposed cure", he adds.

Mr Longworth says Labour must now listen to businesses "and get a thorough understanding of how the economy works" to ensure its economic policies "serve the national interest, rather than partisan interests".

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BBC Political editor Laura Kuenssberg predicts that it won't escape the notice of the Conservatives that there was "hardly any mention" of balancing the books and tackling the deficit in Jeremy Corbyn's speech. They'll be seizing on that "in minutes", she reckons.

If you remember, Ed Miliband found himself in a spot of bother last year after admitting he missed out a passage on the UK's financial deficit in his speech to the Labour conference.

Shadow housing minister Jon Healey defends Mr Corbyn, saying the leader wanted to do "a deeper, wider sweep rather than deal with that sort of detail".

BBC Monitoring

BBC Monitoring has noticed that Iran's state-owned TV  broadcast live parts of Jeremy Corbyn's speech. The rolling news network IRINN broadcast the speech with Persian translation. It is unusual for the Iranian state broadcaster to air live speeches by leaders of British parties.

UKIP also attacks Jeremy Corbyn's views on immigration:

That's "fantastical", not "fantastic". In a statement, UKIP gives its verdict on the Labour leader's speech:

Jeremy Corbyn said housing was a "top priority" policy for Labour, as he attacked the government's record, and called for a council house building programme. 

The new leader told his party conference that he was committed to a "decent home for everybody".  

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BBC political editor Laura Kuenssberg says the speech showed "Corbyn the campaigner". 

Many members feel like they've waited a long time to hear a speech life that, she adds, noting Mr Corbyn went through quite a list of the things that interest him.

But set-piece conference speeches aren't just for the members in the hall, they're a window to the wider public, too. And what the Labour leader didn't do was show how he would translate that passionate campaigning into something that looks like a programme for government, Laura adds.

While his team would say its too early to have a full narrative in place, many of the Parliamentary Labour Party believe he's struggling to show how he's going to get to that place, she says.

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Stephen Twigg, MP for Liverpool, West Derby, says it was a "very powerful and unifying speech" that set out Labour's values.