After changing my hot water tank I find the water to the kitchen faucet to be luke warm. I cut the cold water valve to the off position and still have water pressure but lukewarm water. Only when I run hot water in the nearest bath do I get really hot water in the kitchen. What do I check next?

Is there a recirculating system installed? Back to you. Tom

No. Just the conventional hot water tank.
Thanks Tom

Shut the water off to the faucet and pull the cartridge, Check and clean the input ports. Now turn the water back on for a few minutes to flush out the supplies. Reassemble and test, Good luck, Tom