February 2008 - Banach - mathdept.okstate.edu

Abstract of a paper by G. Botelho, M. C. Matos and D. Pellegrino
by alspach＠fourier.math.okstate.edu 06 Feb '08

06 Feb '08

This is an announcement for the paper "Lineability of summing sets of homogeneous polynomials" by G. Botelho, M. C. Matos and D. Pellegrino. Abstract: Given a continuous $n$-homogeneous polynomial $P\colon E\longrightarrow F$ between Banach spaces and $1\leq q\leq p<\infty$, in this paper we investigate some properties concerning lineability and spaceability of the $(p;q)$-summing set of $P$, defined by $S_{p;q}(P)=\{a\in E:P\mathrm{~is~}% (p;q)\mathrm{-summing~at~}a\}$. Archive classification: math.FA Mathematics Subject Classification: 46G25 Remarks: 15 pages The source file(s), BotelhoMatosPellegrino.tex: 47676 bytes, is(are) stored in gzipped form as 0801.1812.gz with size 14kb. The corresponding postcript file has gzipped size 100kb. Submitted from: dmpellegrino(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0801.1812 or http://arXiv.org/abs/0801.1812 or by email in unzipped form by transmitting an empty message with subject line uget 0801.1812 or in gzipped form by using subject line get 0801.1812 to: math(a)arXiv.org.

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Abstract of a paper by V. Valov
by alspach＠fourier.math.okstate.edu 06 Feb '08

06 Feb '08

This is an announcement for the paper "Probability measures and Milyutin maps between metric spaces" by V. Valov. Abstract: We prove that the functor $\Hat{P}$ of Radon probability measures transforms any open map between completely metrizable spaces into a soft map. This result is applied to establish some properties of Milyutin maps between completely metrizable space. Archive classification: math.GN math.FA Mathematics Subject Classification: 54C60(primary), 60B05(secondary) Remarks: 14 pages The source file(s), Probability2.tex: 46900 bytes, is(are) stored in gzipped form as 0801.1721.gz with size 14kb. The corresponding postcript file has gzipped size 101kb. Submitted from: veskov(a)nipissingu.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0801.1721 or http://arXiv.org/abs/0801.1721 or by email in unzipped form by transmitting an empty message with subject line uget 0801.1721 or in gzipped form by using subject line get 0801.1721 to: math(a)arXiv.org.

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Abstract of a paper by Romain Tessera
by alspach＠fourier.math.okstate.edu 06 Feb '08

06 Feb '08

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(a)phare.normalesup.org The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0801.1532 or http://arXiv.org/abs/0801.1532 or by email in unzipped form by transmitting an empty message with subject line uget 0801.1532 or in gzipped form by using subject line get 0801.1532 to: math(a)arXiv.org.

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