The spectrum of matrices depending on two idempotents

نویسندگان

  • Xiaoji Liu
  • Julio Benítez
چکیده

Let P and Q be two complex matrices satisfying P 2 = P and Q = Q. If a, b are nonzero complex numbers such that aP + bQ is diagonalizable, we relation the spectrum of aP + bQ with the spectrum of P −Q, PQ, PQP and PQ−QP .

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2011