# Extensions of set functions.

Sergei V. Ovchinnikov; Jean Claude Falmagne

Mathware and Soft Computing (2003)

- Volume: 10, Issue: 1, page 5-16
- ISSN: 1134-5632

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topOvchinnikov, Sergei V., and Falmagne, Jean Claude. "Extensions of set functions.." Mathware and Soft Computing 10.1 (2003): 5-16. <http://eudml.org/doc/39246>.

@article{Ovchinnikov2003,

abstract = {We establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is algo shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure.},

author = {Ovchinnikov, Sergei V., Falmagne, Jean Claude},

journal = {Mathware and Soft Computing},

keywords = {Teoría de la medida; Conjuntos medibles; positive additive set functions; extension; algebra of sets; Borel algebra},

language = {eng},

number = {1},

pages = {5-16},

title = {Extensions of set functions.},

url = {http://eudml.org/doc/39246},

volume = {10},

year = {2003},

}

TY - JOUR

AU - Ovchinnikov, Sergei V.

AU - Falmagne, Jean Claude

TI - Extensions of set functions.

JO - Mathware and Soft Computing

PY - 2003

VL - 10

IS - 1

SP - 5

EP - 16

AB - We establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is algo shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure.

LA - eng

KW - Teoría de la medida; Conjuntos medibles; positive additive set functions; extension; algebra of sets; Borel algebra

UR - http://eudml.org/doc/39246

ER -