The Resource A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (electronic resource)
A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (electronic resource)
Resource Information
The item A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (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 A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (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
 Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, selfcontained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the RieszThorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for selfstudy and alongside lecture courses.
 Language
 eng
 Extent
 1 online resource (XXII, 539 pages)
 Contents

 Introduction
 Chapter 1. Metric and topological spaces
 Chapter 2. Measure theory
 Chapter 3. Measurable functions
 Chapter 4. The Lebesgue integral
 Chapter 5. Linear spaces, linear functionals, and the HahnBanach theorem
 Chapter 6. Normed spaces
 Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral
 Chapter 8. The integral on C(K)
 Chapter 9. Continuous linear functionals
 Chapter 10. Classical theorems on continuous operators
 Chapter 11. Elements of spectral theory of operators. Compact operators
 Chapter 12. Hilbert spaces
 Chapter 13. Functions of an operator
 Chapter 14. Operators in Lp
 Chapter 15. Fixedpoint theorems and applications
 Chapter 16. Topological vector spaces
 Chapter 17. Elements of duality theory
 Chapter 18. The KreinMilman theorem and applications
 References. Index
 Isbn
 9783319920047
 Label
 A Course in Functional Analysis and Measure Theory
 Title
 A Course in Functional Analysis and Measure Theory
 Statement of responsibility
 by Vladimir Kadets
 Language
 eng
 Summary
 Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, selfcontained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the RieszThorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for selfstudy and alongside lecture courses.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Kadets, Vladimir
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 90 \0
 Springer eBooks.
 Springer eBooks
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Functional analysis
 Measure theory
 Operator theory
 Functions of real variables
 Label
 A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (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
 Introduction  Chapter 1. Metric and topological spaces  Chapter 2. Measure theory  Chapter 3. Measurable functions  Chapter 4. The Lebesgue integral  Chapter 5. Linear spaces, linear functionals, and the HahnBanach theorem  Chapter 6. Normed spaces  Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral  Chapter 8. The integral on C(K)  Chapter 9. Continuous linear functionals  Chapter 10. Classical theorems on continuous operators  Chapter 11. Elements of spectral theory of operators. Compact operators  Chapter 12. Hilbert spaces  Chapter 13. Functions of an operator  Chapter 14. Operators in Lp  Chapter 15. Fixedpoint theorems and applications  Chapter 16. Topological vector spaces  Chapter 17. Elements of duality theory  Chapter 18. The KreinMilman theorem and applications  References. Index
 Control code
 9783319920047
 Dimensions
 unknown
 Extent
 1 online resource (XXII, 539 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
 9783319920047
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319920047
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1045425109
 Label
 A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (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
 Introduction  Chapter 1. Metric and topological spaces  Chapter 2. Measure theory  Chapter 3. Measurable functions  Chapter 4. The Lebesgue integral  Chapter 5. Linear spaces, linear functionals, and the HahnBanach theorem  Chapter 6. Normed spaces  Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral  Chapter 8. The integral on C(K)  Chapter 9. Continuous linear functionals  Chapter 10. Classical theorems on continuous operators  Chapter 11. Elements of spectral theory of operators. Compact operators  Chapter 12. Hilbert spaces  Chapter 13. Functions of an operator  Chapter 14. Operators in Lp  Chapter 15. Fixedpoint theorems and applications  Chapter 16. Topological vector spaces  Chapter 17. Elements of duality theory  Chapter 18. The KreinMilman theorem and applications  References. Index
 Control code
 9783319920047
 Dimensions
 unknown
 Extent
 1 online resource (XXII, 539 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
 9783319920047
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319920047
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1045425109
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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/ACourseinFunctionalAnalysisandMeasure/mJHcS9PcG7A/" 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/ACourseinFunctionalAnalysisandMeasure/mJHcS9PcG7A/">A Course in Functional Analysis and Measure Theory, by Vladimir Kadets, (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>