Sporting events in London will not have fans attending from Wednesday after the UK capital was moved into the highest tier of coronavirus restrictions.
Up to 2,000 had been allowed at outdoor arenas in England after the end of the second national lockdown on 2 December.
However, a rise in infections has resulted in the move into tier three.
West Ham's match against Crystal Palace on Wednesday will be behind closed doors, as will the midweek Premier League matches at Arsenal and Fulham.
The Gunners tweeted: "We are disappointed to confirm that we are no longer able to welcome fans to Emirates Stadium for our Premier League fixture against Southampton.