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題 名 | Representations for the Pseudo Drazin Inverse of Elements in a Banach Algebra |
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作 者 | Zhu, Huihui; Chen, Jianlong; Patrício, Pedro; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 19:2 2015.04[民104.04] |
頁 次 | 頁349-362 |
分類號 | 313.3 |
關鍵詞 | Pseudo Drazin inverse; Strongly spectral idempotent; Jacobson radical; |
語 文 | 英文(English) |
英文摘要 | In this paper, we investigate the pseudo Drazin invertibility of the sum and the product of elements in a Banach algebra A . Given pseudo Drazin invertible elements a and b such that a2b = aba and b2a = bab, it is shown that ab is pseudo Drazin invertible and a + b is pseudo Drazin invertible if and only if so is 1 + a‡b, and the related formulae are provided. |
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