Suprema of chains of operators
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چکیده
Let E be a real Banach space of operators ordered by a cone K. We give a sufficient condition for that each chain which is bounded above has a supremum. This condition is satisfied in several classical cases, as for the Loewner ordering on the space of all symmetric operators on a Hilbert space, for example. MSC classification (2010): 46B40, 47L07
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تاریخ انتشار 2010