OPERATOR THEORY SEMINAR

FALL 2002

The seminar meets Tuesdays 3:30-4:30 PM in KER 228. Special lectures outside this hour may be announced from time to time.

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September 2-6

SPECIAL LECTURE ON FRIDAY, SEPTEMBER 6
2-3 PM, KER 317

Sandra Pott, University of York,
Admissibility of observation operators, the Weiss conjecture, and vector BMO.

• Abstract in postscript
• Abstract in pdf

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September 9-13

No meeting scheduled

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September 16-20

Tuesday, Sept. 17
Tom Kriete
Linear algebra modulo the compacts for composition operators

Abstract:

Unlike the case of Toeplitz and Hankel operators, the set of composition operators has no obvious additive or linear structure. However, for composition operators on the standard weighted Bergman spaces, Jennifer Moorhouse has uncovered a natural additive structure modulo the ideal K of compact operators, along the way characterizing those pairs of composition operators having compact difference. I will report on joint work with Moorhouse in which we give analogues of these results for the Hardy space and also pass from sums to linear combinations mod K.

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September 23-27

No meeting scheduled

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September 30 - October 4

Tuesday, Oct. 1
Tom Kriete (continued from Sept. 17)
Linear algebra modulo the compacts for composition operators

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October 7-11

Tuesday, Oct. 8
Tom Kriete (continued from Oct. 1)
Linear algebra modulo the compacts for composition operators

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October 14-18

Tuesday, Oct. 15
Paul Bourdon, Washington & Lee University
Norms of Linear-Fractional Composition Operators

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October 21-25

Tuesday, Oct. 22
Christopher Hammond
Norms and co-hyponormality of linear-fractional composition operators

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October 28 - November 1

Tuesday, Oct. 29
William T. Ross, University of Richmond
The Cauchy transform

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November 4-8

Tuesday, Nov. 5
William T. Ross, University of Richmond
The Cauchy transform, continued

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November 11-15

Tuesday, Nov. 12
Sivaram Narayan, Central Michigan University and The College of William and Mary
Which linear fractional composition operators are essentially normal?

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November 18-22

Tuesday, Nov. 19
Tom Kriete (continued from Oct. 8 )
Linear algebra modulo the compacts for composition operators

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November 25-29

Tuesday, Nov. 26: NO MEETING

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December 2-6

Tuesday, Dec. 3
Tom Kriete (continued from Nov. 19 )
Linear algebra modulo the compacts for composition operators, conclusion

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December 9-13

Tuesday, Dec. 10
Speaker, Title

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December 16-20

Tuesday, Dec. 17
Alexander Kheifets, The College of William and Mary
Equality and inequality in the boundary Caratheodory-Fejer interpolation problem on the circle

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