Functional Analysis Seminar
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Tue, 29/04/2008 17:00 |
Monica Ilie (Lakehead) |
Functional Analysis Seminar  |
L3 |
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Tue, 06/05/2008 17:00 |
Birgit Jacob (Delft) |
Functional Analysis Seminar |
L3 |
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Tue, 13/05/2008 17:00 |
Ian Doust (New South Wales) |
Functional Analysis Seminar |
L3 |
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Tue, 20/05/2008 17:00 |
Iryna Schlackow (Oxford) |
Functional Analysis Seminar |
L3 |
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Tue, 27/05/2008 17:00 |
Richard Haydon (Oxford) |
Functional Analysis Seminar |
L3 |
| A problem that has been open since (at least) 1960 is whether there exists an infinite-dimensional Banach space on which every bounded linear operator is a compact perturbation of a scalar multiple of the identity. The HI spaces constructed by Gowers and Maurey have "few operators" in a slightly weaker sense than this. Combining HI methods with a technique due to Bourgain, Spiros Argyros and the speaker have recently constructed a space which solves the original problem. The seminar talk will attempt to convey some of the underlying ideas. | |||
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Tue, 03/06/2008 17:00 |
Rupert Levene (Queen's, Belfast) |
Functional Analysis Seminar |
L3 |
| The Schur product is the commutative operation of entrywise multiplication of two (possibly infinite) matrices. If we fix a matrix A and require that the Schur product of A with the matrix of any bounded operator is again the matrix of a bounded operator, then A is said to be a Schur multiplier; Schur multiplication by A then turns out to be a completely bounded map. The Schur multipliers were characterised by Grothendieck in the 1950s. In a 2006 paper, Kissin and Shulman study a noncommutative generalisation which they call "operator multipliers", in which the theory of operator spaces plays an important role. We will present joint work with Katja Juschenko, Ivan Todorov and Ludmilla Turowska in which we determine the operator multipliers which are completely compact (that is, they satisfy a strengthening of the usual notion of compactness which is appropriate for completely bounded maps). | |||
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Tue, 10/06/2008 17:00 |
Francisco Fernandez-Polo (Granada) |
Functional Analysis Seminar |
L3 |
