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Closed range positive operators on Banach spaces.

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  • معلومة اضافية
    • نبذة مختصرة :
      A bounded positive operator on a Hilbert space has closed range if and only if the operator and its square root have common ranges. We give an extension of this result for positive operators acting on reflexive Banach spaces. Some other results concerning positive operators on Hilbert spaces are carried over to this general case. [ABSTRACT FROM AUTHOR]