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The Drazin inverses of Combinations of Two idempotents

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
By using the methods of splitting operator’s matrix into blocks and space decompositions, the existence and calculation formulas of Drazin inverse of the combinations aP + bQ+cPQ+dQP of two idempotent operators P and Q on a Hilbert space are obtained under the conditions PQP = 0, PQP = P and PQP = PQ respectively. These generalized the related results of Deng’s work, which characterized the Drazin inverse of the sum and difference of two idempotents.
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  • 4
480-491
  • English

REFERENCES

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