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Closed $ EP $ and Hypo-$ EP $ Operators on Hilbert Spaces

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 نشر من قبل P Sam Johnson
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف P. Sam Johnson




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A bounded linear operator $ A$ on a Hilbert space $ mathcal H $ is said to be an $ EP $ (hypo-$ EP $) operator if ranges of $ A $ and $ A^* $ are equal (range of $ A $ is contained in range of $ A^* $) and $ A $ has a closed range. In this paper, we define $EP$ and hypo-$EP$ operators for densely defined closed linear operators on Hilbert spaces and extend results from bounded operator settings to (possibly unbounded) closed operator settings.



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