Do greyhounds recognize their owners?

Yes, dogs will recognize their owners. This is something inherited from the hierarchy of their ancestors.

The dog recognizes you as its owner

The dog always licks your face, which means it recognizes you as its owner

If the dog you raise has given birth to a child, Then if you observe at ordinary times, you will find that when the mother dog is eating, if the puppy also wants to eat, it will lick the mother dog's face, and then the mother dog will automatically move away to let the puppy eat. In fact, in the dog world, it will actively express its weak status by licking its face. If your dog always licks your face, it means that it is quite sure of your status in the family, and it means that you are the boss it respects. Therefore, it will keep licking you to show its love to you.

A dog always showing its belly to you means it recognizes you as its owner

Everyone knows that a dog’s belly is the most vulnerable part of the dog and is generally not exposed easily. But when your dog makes a mistake and you scold it loudly, it will lie down and dare not look at you with its eyes, or even lie down directly with its belly exposed.

The dog's automatic obedience to your commands means that it recognizes you as its master

When you give your dog some simple commands, it will lie down, roll or even move forward as you tell it. Sometimes when your hands are busy, you ask it to help you pick up something, and it can pick it up for you thoughtfully. This means that it completely obeys you, which shows that your position as the boss is already very stable.