University of Birmingham > Talks@bham > Analysis seminar > C(K) spaces with few operators

C(K) spaces with few operators

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If you have a question about this talk, please contact Neal Bez.

In 2004 Piotr Koszmider constructed a Banach space C(K) of continuous real-valued functions on an infinite Hausdorff space K such that the space L[C(K)] of bounded linear operators on C(K) only contains elements of the form T = gI + W with g a continuous function and W weakly compact. This in a sense gives a minimal possible L[C(K)], and spaces K with this property are now called Koszmider spaces. In this talk we will present some properties of Koszmider spaces, which are particularly interesting if we restrict ourselves to sets with no isolated points, and introduce a related notion of weakly Koszmider spaces, which give rise to ``spaces with few operators but not too few’’. We will also give an overview of a (ZFC) construction of a separable connected Koszmider space.

This talk is part of the Analysis seminar series.

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