Let T an S be nilpotent operators (both from V to V), and TS=ST. Prove: 1. TS nilpotent 2. T+S nilpotent Thank you all!
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Originally Posted by Also sprach Zarathustra Let T an S be nilpotent operators (both from V to V), and TS=ST. Prove: 1. TS nilpotent 2. T+S nilpotent Thank you all! Assume . 1. Then what is ? (You need to use that .) 2. Using the above result, what is ? To *see* what is going on, work out , assuming .
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