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Mathematics > Functional Analysis

arXiv:1805.02992 (math)
[Submitted on 8 May 2018 (v1), last revised 22 Oct 2018 (this version, v2)]

Title:Coherence and compatibility: a stronger approach

Authors:Joilson Ribeiro, Fabrício Santos, Ewerton Torres
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Abstract:In this work we present a definition for coherence and compatibility of multilinear mappings and homogenous polynomial classes. These definitions are more restricted than the ones proposed before. We began analyzing this new definition in a technical sense, searching for what it has in common with other approaches. Then, we moved on to a more practical analysis. Through numerous examples of different classes of multilinear mappings and homogenous polynomials we checked the limits on these proposed definitions and propose there is a vast field in which they apply.
Comments: 20 pages
Subjects: Functional Analysis (math.FA)
MSC classes: 47L22, 46G25, 47L20, 47B10
Cite as: arXiv:1805.02992 [math.FA]
  (or arXiv:1805.02992v2 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1805.02992

Submission history

From: Joilson Ribeiro [view email]
[v1] Tue, 8 May 2018 13:08:41 UTC (27 KB)
[v2] Mon, 22 Oct 2018 21:10:55 UTC (27 KB)
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