Classifying Complemented Subspaces of L_p with Alspach Norm

2010/04/29 by Isaac DeFrain, DeFrain, Isaac, Mitch Phillipson +3
Mathematics · #46B03 #46B25 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B03 #msc:46B25

paper · pdf · doi:10.48550/arxiv.1004.5341

7 pages

arxiv created 2010/04/29 · arxiv updated 2015/03/16

Abstract

Understanding the complemented subspaces of L_p has been an interesting topic of research in Banach space theory since 1960. 1999, Alspach proposed a systematic approach to classifying the subspaces of L_p by introducing a norm given by partitions and weights. This paper shows that with Alspach Norm we are able to classify some complemented subspaces of L_p, 2<p<∞.

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