The Resource Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource)
Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource)
Resource Information
The item Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given. Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem. The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
 Language
 eng
 Extent
 1 online resource (IX, 173 pages)
 Contents

 Topological Preliminaries
 Metrizable Compact Spaces
 The StoneWeierstrass Theorem
 Weak Topologies. The Alaoglu Theorem
 Riesz Spaces
 Yosida’s Representation Theorem
 The StoneČech compactification
 Evaluations
 C(X) determines X
 The Riesz Representation Theorem
 Banach Algebras
 Other Scalars
 Isbn
 9789462392014
 Label
 Spaces of Continuous Functions
 Title
 Spaces of Continuous Functions
 Statement of responsibility
 by G.L.M. Groenewegen, A.C.M. van Rooij
 Language
 eng
 Summary
 The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given. Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem. The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Groenewegen, G.L.M
 Dewey number
 223
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorDate
 1936
 http://library.link/vocab/relatedWorkOrContributorName
 Rooij, A. C. M. van
 Series statement

 Atlantis Studies in Mathematics,
 Springer eBooks
 Series volume
 4
 http://library.link/vocab/subjectName

 Mathematics
 Functional analysis
 Measure theory
 Label
 Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Topological Preliminaries  Metrizable Compact Spaces  The StoneWeierstrass Theorem  Weak Topologies. The Alaoglu Theorem  Riesz Spaces  Yosida’s Representation Theorem  The StoneČech compactification  Evaluations  C(X) determines X  The Riesz Representation Theorem  Banach Algebras  Other Scalars
 Control code
 9789462392014
 Dimensions
 unknown
 Extent
 1 online resource (IX, 173 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9789462392014
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.2991/9789462392014
 Other physical details
 23 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)952248125
 Label
 Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Topological Preliminaries  Metrizable Compact Spaces  The StoneWeierstrass Theorem  Weak Topologies. The Alaoglu Theorem  Riesz Spaces  Yosida’s Representation Theorem  The StoneČech compactification  Evaluations  C(X) determines X  The Riesz Representation Theorem  Banach Algebras  Other Scalars
 Control code
 9789462392014
 Dimensions
 unknown
 Extent
 1 online resource (IX, 173 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9789462392014
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.2991/9789462392014
 Other physical details
 23 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)952248125
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/SpacesofContinuousFunctionsbyG.L.M./i5fSfHUkGiM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/SpacesofContinuousFunctionsbyG.L.M./i5fSfHUkGiM/">Spaces of Continuous Functions, by G.L.M. Groenewegen, A.C.M. van Rooij, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>