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2019, Jimmy Song, Programming Bitcoin: Learn How to Program Bitcoin from Scratch, O'Reilly Media, →ISBN, page 94:What Satoshi envisioned was a way to do payments back and forth with another party without making lots of on-chain transactions.
2020, Fabian Schär, Aleksander Berentsen, Bitcoin, Blockchain, and Cryptoassets: A Comprehensive Introduction, MIT Press, →ISBN, page 201:Every closing and reopening requires two on-chain transactions with the corresponding transaction fees.