Legally, the banks in Sweden have no right to deny anybody as a customer. This is explicit in the law as a requirement for the bank to be covered by government depositors insurance.

In practice banks will deny anybody to open an account, for no reason at all, because they are above the law in Sweden. The country has for a long time been owned by a few powerful banker families.

Edit: Down voters might first want to look at Wikipedia for the Wallenberg family. This is as much part of Swedish culture as IKEA or meatballs.

I challenge anybody to find a country in modern history which is more owned and controlled by bankers than Sweden.