This is an announcement for the paper "Finding left inverses for classes of operators on l^p(Z^d) with some decay conditions" by Romain Tessera.

Abstract: We study the left-invertibility of infinite matrices indexed by metric spaces with polynomial growth. In particular, we consider matrices with polynomial decay, indexed by discrete groups of polynomial growth. Under different conditions on the rows and the columns, we prove that being bounded-below in l^p for some p implies that there is a left-inverse which is bounded in l^q, for all q between 1 and infinity.

Archive classification: math.FA

Mathematics Subject Classification: 47B38, 47B37

Remarks: 33 pages

The source file(s), thinop10.tex: 77101 bytes, is(are) stored in gzipped form as 0801.1532.gz with size 23kb. The corresponding postcript file has gzipped size 163kb.

Submitted from: tessera@phare.normalesup.org

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http://front.math.ucdavis.edu/0801.1532

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http://arXiv.org/abs/0801.1532

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