Lineability of summing sets of homogeneous polynomials

2008/01/11 by G. Botelho, Geraldo Botelho, M. C. Matos +6
Mathematics · #46G25 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Nonlinear Differential Equations Analysis #math.FA #msc:46G25

paper · pdf · doi:10.48550/arxiv.0801.1812

15 pages

arxiv created 2008/01/11 · openalex publication_date 2008/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a continuous n-homogeneous polynomial P\colon E\longrightarrow F between Banach spaces and 1≤ q≤ p<∞, 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∈ E:Pis% (p;q)summing ata\.

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