Please use this identifier to cite or link to this item:
Publisher DOI: 10.1007/s43037-020-00072-z
Title: Weighted spaces of vector-valued functions and the ε-product
Language: English
Authors: Kruse, Karsten  
Keywords: Linearisation;Semi-Montel space;Vector-valued functions;Weight;ε-product
Issue Date: 16-Jun-2020
Source: Banach Journal of Mathematical Analysis 4 (14): 1509-1531 (2020-09-01)
Journal or Series Name: Banach journal of mathematical analysis 
Abstract (english): We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E.
DOI: 10.15480/882.2930
ISSN: 1735-8787
Institute: Mathematik E-10 
Type: (wissenschaftlicher) Artikel
Funded by: Open Access funding provided by Projekt DEAL.
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
Kruse2020_Article_WeightedSpacesOfVector-valuedF.pdfVerlags-PDF3,09 MBAdobe PDFThumbnail
Show full item record

Page view(s)

Last Week
Last month
checked on Nov 28, 2020


checked on Nov 28, 2020

Google ScholarTM


Note about this record


This item is licensed under a Creative Commons License Creative Commons