Squaring operator Pólya-Szegö and Diaz-Metcalf type inequalities

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• 作者：Mohammad Sal Moslehian^a ; ^{moslehian@um.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; ^{moslehian@member.ams.org" class="auth_mail" title="E-mail the corresponding author} ; Xiaohui Fu^b ; ^{fxh6662@sina.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：47A30 ; 47A63 ; 46L05 ; 15A60
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：491
• 期：Complete
• 页码：73-82
• 全文大小：277 K

文摘

We square operator Pólya–Szegö and Diaz–Metcalf type inequalities as follows: If operator inequalities class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515001160&_mathId=si1.gif&_user=111111111&_pii=S0024379515001160&_rdoc=1&_issn=00243795&md5=64ef9ec1ee8168a963cc10ed410ae3e4">class="imgLazyJSB inlineImage" height="18" width="132" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0024379515001160-si1.gif">class="mathContainer hidden">class="mathCode">$0<m_1^2\le A\le M_1^2$ and class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515001160&_mathId=si2.gif&_user=111111111&_pii=S0024379515001160&_rdoc=1&_issn=00243795&md5=ea5f4c377042fec994bc92663809d0fd">class="imgLazyJSB inlineImage" height="18" width="132" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0024379515001160-si2.gif">class="mathContainer hidden">class="mathCode">$0<m_2^2\le B\le M_2^2$ hold for some positive real numbers class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515001160&_mathId=si3.gif&_user=111111111&_pii=S0024379515001160&_rdoc=1&_issn=00243795&md5=48b5252d5aa40fa821d968d2c398fa7c" title="Click to view the MathML source">m₁≤M₁class="mathContainer hidden">class="mathCode">$m_1\le M_1$ and class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515001160&_mathId=si37.gif&_user=111111111&_pii=S0024379515001160&_rdoc=1&_issn=00243795&md5=7e4956c689252e72a4d8bb9e3cf650f9" title="Click to view the MathML source">m₂≤M₂class="mathContainer hidden">class="mathCode">$m_2\le M_2$, then for every unital positive linear map Φ the following inequalities hold: and