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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
Accepted
the sigma-p property
The answer to your first question is no. To see this, one can consider for every ordinal $\xi$ the class $\mathcal{I}=\textbf{Sz}_\xi$ of operators whose Szlenk index does not exceed $\omega^\xi$. The …
1
vote
0
answers
206
views
Minimal projections and pure states in scattered $C^*$ algebras
The question I have came up when reading a paper of Ghasemi and Koszmider https://arxiv.org/abs/1611.00221 on scattered $C^*$ algebras and the non-commutative Cantor-Bendixson derivatives. Throughout …