# Representing measures for the disc algebra and for the ball algebra

Raymond Brummelhuis; Jan Wiegerinck

Annales Polonici Mathematici (1991)

- Volume: 55, Issue: 1, page 19-35
- ISSN: 0066-2216

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topRaymond Brummelhuis, and Jan Wiegerinck. "Representing measures for the disc algebra and for the ball algebra." Annales Polonici Mathematici 55.1 (1991): 19-35. <http://eudml.org/doc/262354>.

@article{RaymondBrummelhuis1991,

abstract = {We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.},

author = {Raymond Brummelhuis, Jan Wiegerinck},

journal = {Annales Polonici Mathematici},

keywords = {ball algebra; disc algebra; extreme point; representing measure; extreme points; extreme elements; representing measures; lifted measure},

language = {eng},

number = {1},

pages = {19-35},

title = {Representing measures for the disc algebra and for the ball algebra},

url = {http://eudml.org/doc/262354},

volume = {55},

year = {1991},

}

TY - JOUR

AU - Raymond Brummelhuis

AU - Jan Wiegerinck

TI - Representing measures for the disc algebra and for the ball algebra

JO - Annales Polonici Mathematici

PY - 1991

VL - 55

IS - 1

SP - 19

EP - 35

AB - We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.

LA - eng

KW - ball algebra; disc algebra; extreme point; representing measure; extreme points; extreme elements; representing measures; lifted measure

UR - http://eudml.org/doc/262354

ER -

## References

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- [Ø] B. Øksendal, Null sets for measures orthogonal to R(X), Amer. J. Math. 94 (1972), 331-342. Zbl0255.46042
- [P] R. R. Phelps, Lectures an Choquet's Theorem, van Nostrand Math. Stud. 7, van Nostrand, Princeton 1966.
- [R] W. Rudin, Function Theory in the Unit Ball of ${\u2102}^{n}$, Grundlehren Math. Wiss. 241, Springer, Berlin 1980.
- [Ry] J. Ryff, The support of representing measures for the disc algebra, in: Function Algebras, F. Birtel (ed.), Scott, Foresman and Company, Glenview 1966.

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