# Representations of bimeasures

Studia Mathematica (1993)

- Volume: 104, Issue: 3, page 269-278
- ISSN: 0039-3223

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topYlinen, Kari. "Representations of bimeasures." Studia Mathematica 104.3 (1993): 269-278. <http://eudml.org/doc/215975>.

@article{Ylinen1993,

abstract = {Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.},

author = {Ylinen, Kari},

journal = {Studia Mathematica},

keywords = {representations; bimeasures; convergence theorem; bimeasure integration; positive-definite bimeasures},

language = {eng},

number = {3},

pages = {269-278},

title = {Representations of bimeasures},

url = {http://eudml.org/doc/215975},

volume = {104},

year = {1993},

}

TY - JOUR

AU - Ylinen, Kari

TI - Representations of bimeasures

JO - Studia Mathematica

PY - 1993

VL - 104

IS - 3

SP - 269

EP - 278

AB - Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.

LA - eng

KW - representations; bimeasures; convergence theorem; bimeasure integration; positive-definite bimeasures

UR - http://eudml.org/doc/215975

ER -

## References

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