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ON THE GROUP INVERSES OF MULTIPLICATIVE COMBINATIONS ASSOCIATED WITH TWO IDEMPOTENTS[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(4).
Citation: ON THE GROUP INVERSES OF MULTIPLICATIVE COMBINATIONS ASSOCIATED WITH TWO IDEMPOTENTS[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(4).

ON THE GROUP INVERSES OF MULTIPLICATIVE COMBINATIONS ASSOCIATED WITH TWO IDEMPOTENTS

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  • Received Date: May 31, 2012
  • Revised Date: March 05, 2013
  • Let H be a complex Hilbert space, the set of all bounded linear operators on H is denoted by B(H). In this note, by using the block-operator matrix technique, the group inverses of multiplicative combinations associated with two idempotents on a Hilbert space is established under some conditions.

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