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Mar 15, 2017 at 19:41 comment added Nik Weaver This is the spectral theorem. E.g. see Theorem 5.4.5 of my book.
Mar 15, 2017 at 19:21 vote accept jacques
Mar 15, 2017 at 19:21
Mar 15, 2017 at 19:01 comment added jacques Hm, okay, but how do I know this holds for bounded operators?
Mar 15, 2017 at 17:22 history answered Nik Weaver CC BY-SA 3.0