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Sudhanshu Ranjan posted an Question
August 12, 2020 • 04:33 am 30 points
  • CSIR NET
  • Mathematical Sciences

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

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    Sudhanshu ranjan

    There is no linear operator on infinite dimensional space which has minimal polynomial?

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    There do exist such linear operators. For example, x-1 is the minimal polynomial of Identity operator on vector space R[x] over R

  • Shashi ranjan sinha best-answer

    Over an infinite dimensional vector space, minimal polynomial of a linear operator may or may not exist.

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