psql -U user -l cive all db list

Hey,
For example, I have 10 postgres db created by postgres superuser postgres.
when I login with postgres and do: psql -l I see all databases its OK.

Now I create new user test_user and create new database with -O
test_user - test_db.
now I do under test_user: psql -U test_user -l and I see again all
databases :( but test_user is only test_db owner.

What I must change that non root user will see only own databases?

Best reg, Margusja