Banach spaces of continuous functions as dual spaces

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new construc...

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Detalles Bibliográficos
Autores principales: Dales, H G, Dashiell, Jr , F K, Lau, A T -M, Strauss, D
Lenguaje:eng
Publicado: Springer 2016
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-32349-7
http://cds.cern.ch/record/2240981
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author Dales, H G
Dashiell, Jr , F K
Lau, A T -M
Strauss, D
author_facet Dales, H G
Dashiell, Jr , F K
Lau, A T -M
Strauss, D
author_sort Dales, H G
collection CERN
description This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher Springer
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spelling cern-22409812021-04-21T19:23:12Zdoi:10.1007/978-3-319-32349-7http://cds.cern.ch/record/2240981engDales, H GDashiell, Jr , F KLau, A T -MStrauss, DBanach spaces of continuous functions as dual spacesMathematical Physics and MathematicsThis book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.Springeroai:cds.cern.ch:22409812016
spellingShingle Mathematical Physics and Mathematics
Dales, H G
Dashiell, Jr , F K
Lau, A T -M
Strauss, D
Banach spaces of continuous functions as dual spaces
title Banach spaces of continuous functions as dual spaces
title_full Banach spaces of continuous functions as dual spaces
title_fullStr Banach spaces of continuous functions as dual spaces
title_full_unstemmed Banach spaces of continuous functions as dual spaces
title_short Banach spaces of continuous functions as dual spaces
title_sort banach spaces of continuous functions as dual spaces
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-32349-7
http://cds.cern.ch/record/2240981
work_keys_str_mv AT daleshg banachspacesofcontinuousfunctionsasdualspaces
AT dashielljrfk banachspacesofcontinuousfunctionsasdualspaces
AT lauatm banachspacesofcontinuousfunctionsasdualspaces
AT straussd banachspacesofcontinuousfunctionsasdualspaces

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