Operator Theory Seminar
The Operator Theory Seminar meets
Wednesdays, 1:30p - 3:00p, in LD 265
which is the seminar room for the IUPUI Department of Mathematical Sciences.
FALL 2008
December 3 (Last meeting of the semester)
William Higdon (University of Indianapolis)
On The Numerical Range Of A Class Of Composition Operators on H^2
November 26
No Meeting -- Thanksgiving Break
November 19
Discussion on problems in Operator Theory
November 12
Morteza Seddighin (IU East)
Anti-eigenvalues and Operator Inequalities
Abstract
The Kantrovich inequality and Kantrovich-like inequalities for positive bounded operators have had many applications in operator theory, and other areas since 1948. The concept of Antieigenvalue or the operator cosine was independently introduced in 1967 by Karl Gustafson for use in perturbation of semigroup generators. For a positive operator, both the Kantorovich inequality and the value of operator cosine are expressed in terms to the smallest and largest eigenvalues of the operator, and it turns out that the former is obtained from the latter. We will discuss the extensions of Kantorovich inequality and Antieigenvalue to other classes of operators.
November 5
Carl Cowen (IUPUI)
Maps of the unit ball in the Schur-Agler Class (continued)
October 29
Carl Cowen (IUPUI)
Maps of the unit ball in the Schur-Agler Class (continued)
October 22
Carl Cowen (IUPUI)
Maps of the unit ball in the Schur-Agler Class (continued)
October 15
Carl Cowen (IUPUI)
Maps of the unit ball in the Schur-Agler Class (continued)
October 8
Carl Cowen (IUPUI)
Maps of the unit ball in the Schur-Agler Class (continued)
October 1
Carl Cowen (IUPUI)
Maps of the unit ball in the Schur-Agler Class
September 24
Carl Cowen (IUPUI)
A class of analytic maps of the unit ball in C^N into itself
September 17
Carl Cowen (IUPUI)
Hermitian Weighted Composition Operators on Weighted Hardy Spaces (continued)
September 10
Carl Cowen (IUPUI)
Hermitian Weighted Composition Operators on Weighted Hardy Spaces (continued)
September 3
Carl Cowen (IUPUI)
Hermitian Weighted Composition Operators on Weighted Hardy Spaces