Durst, now 78, was the subject of the HBO crime documentary series, The Jinx, in which he apparently confessed to three murders.

He was convicted in a Los Angeles court last month of shooting Susan Berman, 55, in the back of the head at her home in December 2000 to stop her from talking to police about his wife’s disappearance.

Susan was found shot in the head in her Beverly Hills home. In a victim impact statement in court, Berman’s son told Durst “you murdered the person I was” when he killed her.

Prosecutors called Durst, 78, a “narcissistic psychopath”.

The trial, which began in March last year but was adjourned for 14 months due to the coronavirus pandemic, came six years after Durst’s apparent confession to multiple killings in the HBO TV series The Jinx.

Durst had still been wearing a live microphone after his interview in the HBO TV series and was heard saying to himself in the bathroom: “What the hell did I do? … Killed them all, of course”.

Lead prosecutor John Lewin said the interviews in The Jinx had helped to make the case against Durst. Prosecutors said that Ms Berman had helped him provide a false alibi in relation to the disappearance of his wife Kathleen McCormack in 1982. It was alleged that he killed Ms Berman to prevent her from revealing this to the police. Durst, a cancer survivor who uses a wheelchair, spent 15 days testifying during the trial, claiming he had found his friend’s body when he went to visit her.

While Durst, believed to be worth $100m (£73m), was only on trial for killing Ms Berman, prosecutors believe he murdered two others – his wife, and a neighbour in Texas who discovered his identity while he was hiding from the police.

Durst has never been charged in the disappearance of his wife Ms McCormack, who was a 29-year-old medical student when she vanished. He has long been a suspect and Westchester County District Attorney Mimi Rocah reopened the case in May.

Regarding the murder and dismemberment of Texas neighbour Morris Black in 2001, Durst was tried but acquitted. He had claimed Mr Black has shot accidentally when the two men fought over a gun. As for the death of his friend, Susan Berman, Durst has denied killing her.

His sentence for first-degree murder excludes any possibility of parole, meaning he will now very likely die in prison. The crime carries special circumstances, the jury decided, including murder while lying in wait, and murder of a witness. Durst is the grandson of Joseph Durst, who founded the Durst Organisation, one of Manhattan’s largest commercial property firms.

His father, Seymour, took control of the company and later gave it to a younger brother, Douglas.

Douglas Durst told jurors he had not seen his brother in 20 years and they had not spoken since 1999, adding: “He’d like to murder me”.