段樱桃. 两个幂等算子多重线性组合的群逆[J]. 华南师范大学学报（自然科学版）, 2013, 45(4).
引用本文: 段樱桃. 两个幂等算子多重线性组合的群逆[J]. 华南师范大学学报（自然科学版）, 2013, 45(4).
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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).
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两个幂等算子多重线性组合的群逆

ON THE GROUP INVERSES OF MULTIPLICATIVE COMBINATIONS ASSOCIATED WITH TWO IDEMPOTENTS

    摘要
  • 摘要: 设H为无穷维复Hilbert空间，B(H)表示H上所有有界线性算子全体组成的集合. 利用算子分块的技巧, 对空间H进一步进行分解，得到了在一些条件下，2个幂等算子多重线性组合的群逆的表达式.

     

    Abstract: 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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