Exposed points in the set of representing measures for the disc algebra

• Autorzy: Alexander J. Izzo
• Języki publikacji: EN

Abstrakty

EN

It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.

Słowa kluczowe

EN

disc algebra; exposed point; representing measure

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 30H05: Bounded analytic functions
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 61
• Numer: 1
• Strony: 59-62

Daty

wydano

1995

otrzymano

1993-10-14

poprawiono

1994-05-18

Twórcy

autor

Alexander J. Izzo

• Department of Mathematics and Statistics, Bowling Green State University Bowling, Green, Ohio 43403, U.S.A.

Bibliografia

• [B-W] R. Brummelhuis and J. Wiegerinck, Representing measures for the disc algebra and for the ball algebra, Ann. Polon. Math. 55 (1991), 19-35.
• [R] J. Ryff, The support of representing measures for the disc algebra, in: Function Algebras, F. Birtel (ed.), Scott, Foresman and Company, Chicago, 1966.