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Drop theorem and Mackey drop property in bornological linear spaces. (Chinese. English summary) Zbl 1199.46011

Summary: In bornological linear spaces, a drop theorem is established and the Mackey drop property is introduced. We give the streaming sequence characterizations of the Mackey drop property. We also investigate the relationship between the Mackey drop property and the problem concerning some class of functions attaining their extreme values.

MSC:

46A17 Bornologies and related structures; Mackey convergence, etc.
46T99 Nonlinear functional analysis
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