Classifying Complemented Subspaces of $L_p$ with Alspach Norm

Details Classifying Complemented Subspaces of $L_p$ with Alspach Norm Classifying Complemented Subspaces of $L_p$ with Alspach Norm

2010-04-29

arxiv.org/abs/1004.5341v1

Mathematics

Functional Analysis

7 pages

Scientific paper

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

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