[Banach] 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

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