NDLI: Spaces of Continuous Functions With Values in an Inductive Limit

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Spaces of Continuous Functions With Values in an Inductive Limit

Content Provider	Scilit
Author	Mujica, Jorge
Copyright Year	2020
Description	Let C ( X ; E ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072577/e975c9af-bdad-4fe8-aeb4-25ab18eb1a08/content/eq2822.tif"/> denote the vector space of all continuous functions on a completely regular Hausdorff space X with values in a Hausdorff locally convex space E. Let C c ( X ; E ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072577/e975c9af-bdad-4fe8-aeb4-25ab18eb1a08/content/eq2823.tif"/> denote the vector space C ( X ; E ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072577/e975c9af-bdad-4fe8-aeb4-25ab18eb1a08/content/eq2824.tif"/> endowed with the topology of compact convergence. If K denotes the scalar field ( K https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072577/e975c9af-bdad-4fe8-aeb4-25ab18eb1a08/content/eq2825.tif"/> = ℝ or ℂ) then we write C ( X ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072577/e975c9af-bdad-4fe8-aeb4-25ab18eb1a08/content/eq2826.tif"/> instead of C ( X ; K https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072577/e975c9af-bdad-4fe8-aeb4-25ab18eb1a08/content/eq2827.tif"/> ). Book Name: Functional Analysis, Holomorphy, and Approximation Theory
Related Links	https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003072577-14&type=chapterpdf
Ending Page	367
Page Count	9
Starting Page	359
DOI	10.1201/9781003072577-14
Language	English
Publisher	Informa UK Limited
Publisher Date	2020-12-22
Access Restriction	Open
Subject Keyword	Book Name: Functional Analysis, Holomorphy, and Approximation Theory P.s3.eu Ap Pe Df
Content Type	Text
Resource Type	Chapter

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