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If A and B have a Lightning Network channel,it was opened with a funding transaction (say, 1BTC from both sides for 2BTC total). After A has spent some time transacting with B, the balance of the balance of the channel will be spent and then the channel will be closed with a confirmation transaction. Why doesn't the Lightning Network support additional funding transactions within this existing channel so that A and B can continue use this channel for transactions?

Not sure what you mean by "when A translate some time with B, the balance of A is will be spend all" - can you explain? I assume though when you say translate you mean transact, but it still doesn't make much sense. – Highly Irregular – 2017-11-25T06:19:01.983
I think the question is clear in the title, related: https://bitcoin.stackexchange.com/questions/57897/is-it-possible-to-add-funds-to-an-already-open-lightning-network-channel
– MeshCollider – 2017-11-27T05:05:26.580