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Sudhanshu ranjan Asked a Question
August 11, 2020 11:03 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Do minimal polynomial for a linear operator on an infinite diminesional vector space always exist ?

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  • Anonymous User Best Answer
    See the attachment.
    • cropped6821623064290782581.jpg
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  • Anonymous User thankyou
    Over an infinite dimensional vector space, minimal polynomial of a linear operator may or may not exist.
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  • Sudhanshu ranjan
    There is no linear operator on infinite dimensional space which has minimal polynomial?
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    Anonymous User
    There do exist such linear operators. For example, x-1 is the minimal polynomial of Identity operator on vector space R[x] over R
  • Sudhanshu ranjan
    ok
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