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Calderon couples of p-convexified Banach lattices | | Eliran Avni
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16 Jul 2011 | | Abstract: | We deal with the question of whether or not the p-convexified couple
(X_0^{(p)},X_1^{(p)}) is a Calderon couple under the assumption that (X_0,X_1)
is a Calderon couple of Banach lattices on some measure space. In this
preliminary version of the paper we find that the answer is affirmative in the
simple case where X_0 and X_1 are sequence spaces and an additional
"positivity" assumption is imposed regarding (X_0,X_1). We also prove a
quantitative version of the result with appropriate norm estimates. In future
versions of this paper we plan to deal with other and more general cases of
these results. | | Source: | arXiv, 1107.3238 | | Services: | Forum | Review | PDF | Favorites | |
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