A valve includes an electromagnetic actuator, which has an armature in an armature space and guided on a valve needle operable by the actuator using the armature. A first and a second stop element that interact with a first and second end face, respectively, of the armature are situated on the valve needle. The armature has a spring receptacle, which is open towards the first end face of the armature, and into which a spring is inserted. The armature has at least one fluid channel, which, during operation, allows fluid to pass through between first and second regions of the armature space at the first and second end faces, respectively, of the armature. The fluid channel incorporates at least part of the spring receptacle. Sections of the fluid channel run radially outwards along a direction oriented from the first to the second end face and coaxial to a longitudinal axis.