Mathematics, 08.08.2019 02:30 lb4628830
14. if s and t are normal linear operators satisfying st*-ts and ts*=s*t, show that their sum s+t and product st are normal. 15. show that a bounded linear operator t: hh on a complex hilbert space h is normal if and only if llt*xll-itxll for all xe h. using this, show that for a normal linear operator,
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14. if s and t are normal linear operators satisfying st*-ts and ts*=s*t, show that their sum s+t an...
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