A valve has a housing that delimits an interior, a first connection, a second connection, a passage that fluidically connects the first and second connections, first and second closing elements received in the interior and surrounding an intermediate space connected to a third connection, and an adjustment device that, in a closed position, brings the first closing element into sealing contact with a first valve seat formed in the passage and the second closing element into sealing contact with a second valve seat formed in the passage. The first closing element is sealingly received in the second closing element. For cleaning, the adjustment device forms a gap that connects the intermediate space to the interior, between the first and second closing elements and simultaneously releases the first and second closing elements from the first and second valve seats in an open position. A cleaning method is also described.