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If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
7
votes
When is the norm of all positive operators on an ordered Banach space determined by their va...
Here are examples to show that neither of the two conditions 1. and 2. that you give as jointly sufficient can just be dropped.
Take $X$ to be two-dimensional real space with the pointwise order. N …