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Multiplication is an open bilinear mapping in the banach algebra of functions of bounded wiener p-variation
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Orientador(es)
Resumo(s)
Let BVp[0, 1], 1 ≤ p < ∞, be the Banach algebra of functions of bounded p-variation in the sense of Wiener. Recently, Kowalczyk and Turowska [9] proved that the multiplication in BV1[0, 1] is an open bilinear mapping. We extend this result for all values of p ∈ [1, ∞).
Descrição
Funding Information: This work was partially supported by the Funda??o para a Ci?ncia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UIDB/MAT/00297/2020 (Centro de Matem?tica e Aplica??es). Publisher Copyright: © 2021 Michigan State University Press. All rights reserved.
Palavras-chave
Banach algebra of functions of bounded wiener p-variation Multiplication in a Banach algebra Open bilinear mapping Analysis Geometry and Topology