Reverse order laws for the Drazin inverses

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• 作者：Xiunan Wang ; Anqi Yu ; Tengfei Li ; Chunyuan Deng ; ¹ ; ^{cydeng@scnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{2373308014@qq.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Reverse order law ; Drazin inverse ; Block matrix
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：444
• 期：1
• 页码：672-689
• 全文大小：346 K

文摘

This paper is to present some equivalent conditions concerning the reverse order law class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16302566&_mathId=si1.gif&_user=111111111&_pii=S0022247X16302566&_rdoc=1&_issn=0022247X&md5=c26d4c265ff2e66c50aee07cd45e21b3" title="Click to view the MathML source">(PQ)^D=Q^DP^Dclass="mathContainer hidden">class="mathCode">${(PQ)}^D=Q^D{P}^D$ for the Drazin invertible operators P and Q   with partial commutative properties class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16302566&_mathId=si112.gif&_user=111111111&_pii=S0022247X16302566&_rdoc=1&_issn=0022247X&md5=d4523a7b822a0742e4166762b516e7e8" title="Click to view the MathML source">[P,PQ]=0class="mathContainer hidden">class="mathCode">$[P,PQ]=0$ or class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16302566&_mathId=si144.gif&_user=111111111&_pii=S0022247X16302566&_rdoc=1&_issn=0022247X&md5=e9a3af52121541bc4cd94e1f3bdce775" title="Click to view the MathML source">[Q,PQ]=0class="mathContainer hidden">class="mathCode">$[Q,PQ]=0$ or class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16302566&_mathId=si207.gif&_user=111111111&_pii=S0022247X16302566&_rdoc=1&_issn=0022247X&md5=996d700e750243363786a6fb0cb825e3" title="Click to view the MathML source">[P,PQQ^D]=0class="mathContainer hidden">class="mathCode">$[P,PQ{Q}^D]=0$ or class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16302566&_mathId=si270.gif&_user=111111111&_pii=S0022247X16302566&_rdoc=1&_issn=0022247X&md5=7dffba1316a5e9767bd2f93776b4f55c" title="Click to view the MathML source">[Q,PP^DQ]=0class="mathContainer hidden">class="mathCode">$[Q,P{P}^{D}Q]=0$.