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Can the Numerical Range of a Nilpotent Operator be a Disc?

Can the Numerical Range of a Nilpotent Operator be a Disc?. Akio Arimoto Department of Mathematics Musashi Institute of Technology. Assertion in this talk. Assumption 1 :. : nilpotent linear operator with norm 1 , i.e. for some. Assumption 2 :. Conclusion ?. is a disc with the radius.

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Can the Numerical Range of a Nilpotent Operator be a Disc?

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Can the Numerical Range of a Nilpotent Operator be a Disc?

Can the Numerical Range of a Nilpotent Operator be a Disc?