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Feb 2, 2023 at 13:04 comment added A beginner mathmatician Thanks! I have edited the question. The new assumption on e is that it has to be the largest.
Feb 2, 2023 at 13:04 history edited A beginner mathmatician CC BY-SA 4.0
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Feb 1, 2023 at 12:38 comment added MaoWao Certainly not. The spectral projection onto any subset of $[0,\lambda)$ has the same property. Or is that not what you're asking?
Feb 1, 2023 at 10:21 history asked A beginner mathmatician CC BY-SA 4.0