Abstract of a paper by G. Botelho, M. C. Matos and D. Pellegrino
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@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@arXiv.org.
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