Department of Mathematics and Statistics Calendar January 17-23, 2005 Monday, January 17, 2005 NO CLASSES - OFFICES CLOSED - Martin Luther King Day Tuesday, January 18, 2005 10:45 AM MATH 115 Instructor's Meeting 400 MSc Wednesday, January 19, 2005 10:30 AM Algebra Seminar 400 MSc Dr. Abdul SAMI 12:30 PM Calculus Seminar 459 MSc 2:30 PM Research Areas Seminar 459 MSc 3:30 PM Statistics Seminar 459 MSc Professor N. BALAKRISHNAN, Visiting Lukacs Professor "Progressive Censoring I: Introduction and Properties" Thursday, January 20, 2005 Friday, January 21, 2005 **12:00 PM Calendar Information due to Cyndi for inclusion in next week's calendar listing** 1:00 PM Graduate Committee Meeting 400 MSc 3:30 PM Refreshments Served Prior to Colloquium 459 MSc 3:45 PM Colloquium 459 MSc Dr. Ignacio Zalduendo Universidad Torcuato di Tella and Kent State University "Orthogonally additive polynomials over $C(K)$" Abstract: Two continuous functions on the compact set $K$ are called orthogonal if their product is zero. A continuous homogeneous polynomial over $C(K)$ is said to be orthogonally additive if $P(u+v)=P(u)+P(v)$, for all orthogonal $u$ and $v$. In two recent papers Benyamini-Llavona-Lassalle and Perez-Villanueva characterize such polynomials using Borel measures on $K$. The two proofs are different and both very technical. In this talk we provide a third proof of the result. Our proof uses the Aron-Berner extension, a linearization procedure (which will be explained in the talk) and elementary topology and functional analysis. The proof is far shorter than those mentioned above. Saturday, January 22, 2005 Sunday, January 23, 2005
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