Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces
type: Item
instance of: scholarly article
title: Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces
zbMATH Open document ID: 1446.46030
DOI: 10.1216/RMJ-2019-49-6-1829
author: Donghai Ji
author: Qingying Bu
published in: Rocky Mountain Journal of Mathematics
publication date: 2019-11-26T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1572746420
review text: The study of conditions assuring the existence of monomial bases in spaces of (scalar-valued) homogeneous polynomials and multilinear mappings has been developed in several articles, such as [\textit{R. Alencar}, Proc. R. Ir. Acad., Sect. A 85, 131--138 (1985; Zbl 0594.46043); the reviewer and \textit{I. Zalduendo}, J. Math. Anal. Appl. 200, No. 3, 548--566 (1996; Zbl 0867.46006); the reviewer and \textit{S. Dineen}, Math. Scand. 83, No. 1, 142--160 (1998; Zbl 0935.46048); \textit{L. Pellegrini}, J. Math. Anal. Appl. 332, No. 1, 272--278 (2007; Zbl 1123.46028)]. The article under review extends some of the results of the previously referred papers to the vector-valued setting.
Mathematics Subject Classification ID: 46G25
Mathematics Subject Classification ID: 46B15
Mathematics Subject Classification ID: 46M05
Mathematics Subject Classification ID: 46B28
zbMATH DE Number: 7136580
zbMATH Keywords: homogeneous polynomials
zbMATH Keywords: multilinear operators
zbMATH Keywords: monomial bases
zbMATH Keywords: symmetric tensor products
reviewed by: Verónica Dimant
MaRDI profile type: Publication
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OpenAlex ID: W2985558991
description: scientific article; zbMATH DE number 7136580