Closed spaces induced by deviation measures

Marcelo Righi ()

Economics Bulletin, 2017, vol. 37, issue 3, 1781-1784

Abstract: We show that a generalized deviation measure can induce a seminorm, which is a norm in important cases. The generalized deviation measure is finite and continuous with respect to the introduced norm. From the norm, we extend to a closed space, which can be understood as a natural domain for generalized deviation measures.

JEL-codes: G1 (search for similar items in EconPapers)
Date: 2017-07-29
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Citations: View citations in EconPapers (3)

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