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putting a shout in for Bollobas here, surely all roads to functional analysis don't lead through Rudin?



Right. Also, say, Kolmogorov and Fomin. And Dunford and Schwartz.

No doubt the full literature is enormous -- I don't know all of it!

But Rudin is a good author, and as a writer got better, less severe in style and, thus, easier to read, over time in his career.




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