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

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  • 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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