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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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Geometric properties of \deltakm in the space P(mC(K))
by
Yun Sung Choi
Pohang University of Science and Technology, Korea
Coauthors: Sung Guen Kim (Kyungpook National University)

Let K be a compact Hausdorff space and C(K) be the Banach space of all scalar (real or complex)-valued continuous functions on K. It is well-known that the extreme and strong extreme points of the unit ball of the dual space C(K)* are identical, and that they are the Dirac measures \deltak,  k in K. We show that \deltakm is also a strong extreme point of the unit ball of the space P(mC(K)) of all scalar (real or complex)-valued continuous m-homogeneous polynomials on C(K).

(T)

Date received: March 27, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caei-54.