Abstract of a paper by S Dutta and D Khurana
This is an announcement for the paper "Ordinal indices for complemented subspaces of l_p" by S Dutta and D Khurana. Abstract: We provide complete isomorphic invariance of a class of translation invariant complemented subspaces of L_p constructed by Bourgain, Rosenthal and Schechtman. We compute ordinal L_p-indices for this class. We further show that the isometric index of a tree subspace over a well founded tree is an invariance for the order of the tree. Finally we provide a dichotomy for the subspaces of L_p with small ordinal indices. Archive classification: math.FA Submitted from: divyakhurana11@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1405.4499 or http://arXiv.org/abs/1405.4499
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