Classifying Complemented Subspaces of Lp with Alspach Norm
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DeFrain, Isaac
Peters, Shawn
Phillipson, Mitch
Sippert, Becky
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Understanding the complemented subspaces of Lp has been an interesting topic of research
in Banach space theory since 1960. In 1999, Dr. Dale E. Alspach proposed a systematic approach to classifying the subspaces of Lp by introducing a norm given by partitions and weights. This study used the Alpach Norm to create a complete classification of subspaces of Lp with one partition.
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University of Wisconsin--Eau Claire Office of Research and Sponsored Programs