You can use netstat for this. See the example (I grepped for ssh):
netstat -putan | grep ssh
tcp 0 0 0.0.0.0:22 0.0.0.0:* LISTEN 1725/sshd
tcp 0 0 1.2.3.4:45734 1.2.3.5:22 ESTABLISHED 2491/ssh
tcp6 0 0 :::22 :::* LISTEN 1725/sshd
Explanation:
I often use the parameters -putan (because they are simple to remember).
-p: show the PIDs of the application/process
-u: show udp ports/connections
-t: show tcp ports/connections
-a: show both listening and non-listening sockets
-n: numeric output (don't do DNS lookups for hostnames etc.)
In the output above, you see that there is an ssh daemon process (sshd) with PID 1725 listening at port 22 on all network interfaces (0.0.0.0). Also there is an ssh client process (PID 2491) connected to the IP-address 1.2.3.5 at port number 22, my IP-address is 1.2.3.4 and my external port is 45734. You see that the connection is established. Therefore I'm logged in via ssh.