Subspaces of L
p
, p > 2, with unconditional bases have equivalent partition and weight norms |
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| Authors: | Dale E Alspach Simei Tong |
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| Institution: | (1) Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA;(2) Department of Mathematics, University of Wisconsin-Eau Claire, Eau Claire, WI 54701, USA |
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| Abstract: | In this note we give a simple proof that every subspace of Lp, 2 < p < ∞, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently Lp has a norm determined by partitions and weights.
Received: 31 January 2005 |
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| Keywords: | Primary 46B20 Secondary 46E30 |
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