Coverart for item
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)

Label
Spaces of Continuous Functions
Title
Spaces of Continuous Functions
Statement of responsibility
by G.L.M. Groenewegen, A.C.M. van Rooij
Creator
Contributor
Author
Subject
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.--
Member of
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.2991/978-94-6239-201-4
Instantiates
Publication
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 Stone-Weierstrass Theorem -- Weak Topologies. The Alaoglu Theorem -- Riesz Spaces -- Yosida’s Representation Theorem -- The Stone-Čech compactification -- Evaluations -- C(X) determines X -- The Riesz Representation Theorem -- Banach Algebras -- Other Scalars
Control code
978-94-6239-201-4
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, non-commercial 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
10.2991/978-94-6239-201-4
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.2991/978-94-6239-201-4
Publication
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 Stone-Weierstrass Theorem -- Weak Topologies. The Alaoglu Theorem -- Riesz Spaces -- Yosida’s Representation Theorem -- The Stone-Čech compactification -- Evaluations -- C(X) determines X -- The Riesz Representation Theorem -- Banach Algebras -- Other Scalars
Control code
978-94-6239-201-4
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, non-commercial 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
10.2991/978-94-6239-201-4
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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