I read this story back in the 1980s. It was from an anthology on fantasy from a used book store so it was likely written the 1960s. The main character had a psychic ability, basically an invisible hand and he could manipulate things about an arms length away. In the end, he kills his enemy by squeezing his heart with his psychic hand. I recall the detective lost his hand hunting asteroids and had to change his career.
The "Gil the ARM" stories by Larry Niven. Mostly short, noir mysteries. but they've been anthologized in a paperback several times. The 1995 Flatlander seems to be the latest publication, and is available as an e-book for kindle and nook or through audible.com at least.
If I recall correctly the particular story you are interested in was "The Defenseless Dead".