2 papers
math.FA2009
Two Remarks on Primary Spaces
Paul F. X. Mueller
We prove that for any operator on $ \ell^\infty(H^1 (\bT))$, the identity factores through or $\Id - T$. We re-prove analogous results of H.M. Wark for the spaces $\ell^inf…
math.FA2009
Haar Type and Carleson Constants
Stefan Geiss, Paul F. X. Mueller
We determine the sub-collections of the dyadic intervals that are able to detect the Haar type of a Banach space. The underlying dichotomy is expressed in terms of the Carleson pac…