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[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).
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.