The closedness of the free-disposal hull of a production set

A. Horsley; A.J. Wrobel

doi:10.1007/BF01229316

The closedness of the free-disposal hull of a production set

A. Horsley, A.J. Wrobel

Research output: Contribution to journal › Article › Scientific › peer-review

2 Citations (Scopus)

Abstract

Assume thatL is a topological vector lattice andY is a closed subset ofL + ×R N, whereR N denotes theN-dimensional Euclidean space. It is shown that the setY−L + ×R + N is closed ifY has appropriate monotonicity properties. The result is applicable to the case ofL equal toL ∞ with the Mackey topology, τ(L ∞,L 1).

Original language	English
Pages (from-to)	386-391
Journal	Economic Theory
Volume	1
Issue number	4
DOIs	https://doi.org/10.1007/BF01229316
Publication status	Published - 1991

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10.1007/BF01229316

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title = "The closedness of the free-disposal hull of a production set",

abstract = "Assume thatL is a topological vector lattice andY is a closed subset ofL + ×R N, whereR N denotes theN-dimensional Euclidean space. It is shown that the setY−L + ×R + N is closed ifY has appropriate monotonicity properties. The result is applicable to the case ofL equal toL ∞ with the Mackey topology, τ(L ∞,L 1).",

author = "A. Horsley and A.J. Wrobel",

year = "1991",

doi = "10.1007/BF01229316",

language = "English",

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journal = "Economic Theory",

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number = "4",

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T1 - The closedness of the free-disposal hull of a production set

AU - Horsley, A.

AU - Wrobel, A.J.

PY - 1991

Y1 - 1991

N2 - Assume thatL is a topological vector lattice andY is a closed subset ofL + ×R N, whereR N denotes theN-dimensional Euclidean space. It is shown that the setY−L + ×R + N is closed ifY has appropriate monotonicity properties. The result is applicable to the case ofL equal toL ∞ with the Mackey topology, τ(L ∞,L 1).

AB - Assume thatL is a topological vector lattice andY is a closed subset ofL + ×R N, whereR N denotes theN-dimensional Euclidean space. It is shown that the setY−L + ×R + N is closed ifY has appropriate monotonicity properties. The result is applicable to the case ofL equal toL ∞ with the Mackey topology, τ(L ∞,L 1).

U2 - 10.1007/BF01229316

DO - 10.1007/BF01229316

M3 - Article

SN - 0938-2259

VL - 1

SP - 386

EP - 391

JO - Economic Theory

JF - Economic Theory

IS - 4

ER -

The closedness of the free-disposal hull of a production set

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