The Resource A first course in functional analysis : theory and applications, Rabindranath Sen
A first course in functional analysis : theory and applications, Rabindranath Sen
Resource Information
The item A first course in functional analysis : theory and applications, Rabindranath Sen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A first course in functional analysis : theory and applications, Rabindranath Sen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 A comprehensive introduction to functional analysis, beginning with the fundamentals and extending into theory and applications. The volume starts with an introduction to sets and metric spaces and the notions of convergence, completeness and compactness, and continues to a detailed treatment of normed linear spaces and Hilbert spaces. The reader is then introduced to linear operators and functionals, the HahnBanach theorem on linear bounded functionals, conjugate spaces and adjoint operators, and the space of linear bounded functionals. Further topics include the closed graph theorem, the open mapping theorem, linear operator theory including unbounded operators, spectral theory, and a brief introduction to the Lebesgue measure. The cornerstone of the book lies in the motivation for the development of these theories, and applications that illustrate the theories in action  P. [4] of cover
 Language
 eng
 Extent
 1 online resource (xviii, 468 pages)
 Contents

 Preliminaries
 Normed linear spaces
 Hilbert space
 Linear operators
 Linear functions
 Space of bounded linear functionals
 Closed graph theorem and its consequences
 Compact operators on normed linear spaces
 Elements of spectral theory of selfadjoint operators in Hilbert spaces
 Measures and integration in Lp[subscript] spaces
 Unbounded linear operators
 The HahnBanach theorem and optimization problems
 Variational problems
 The wavelet analysis
 Dynamical systems
 Isbn
 9780857282224
 Label
 A first course in functional analysis : theory and applications
 Title
 A first course in functional analysis
 Title remainder
 theory and applications
 Statement of responsibility
 Rabindranath Sen
 Language
 eng
 Summary
 A comprehensive introduction to functional analysis, beginning with the fundamentals and extending into theory and applications. The volume starts with an introduction to sets and metric spaces and the notions of convergence, completeness and compactness, and continues to a detailed treatment of normed linear spaces and Hilbert spaces. The reader is then introduced to linear operators and functionals, the HahnBanach theorem on linear bounded functionals, conjugate spaces and adjoint operators, and the space of linear bounded functionals. Further topics include the closed graph theorem, the open mapping theorem, linear operator theory including unbounded operators, spectral theory, and a brief introduction to the Lebesgue measure. The cornerstone of the book lies in the motivation for the development of these theories, and applications that illustrate the theories in action  P. [4] of cover
 Cataloging source
 N$T
 http://library.link/vocab/creatorName
 Sen, Rabindranath
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Functional analysis
 MATHEMATICS
 Functional analysis
 Label
 A first course in functional analysis : theory and applications, Rabindranath Sen
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 459462) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preliminaries  Normed linear spaces  Hilbert space  Linear operators  Linear functions  Space of bounded linear functionals  Closed graph theorem and its consequences  Compact operators on normed linear spaces  Elements of spectral theory of selfadjoint operators in Hilbert spaces  Measures and integration in Lp[subscript] spaces  Unbounded linear operators  The HahnBanach theorem and optimization problems  Variational problems  The wavelet analysis  Dynamical systems
 Control code
 ocn830323698
 Dimensions
 unknown
 Extent
 1 online resource (xviii, 468 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9780857282224
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 9780857283207
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId

 451429
 22573/ctt1gwxg3r
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)830323698
 Label
 A first course in functional analysis : theory and applications, Rabindranath Sen
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 459462) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preliminaries  Normed linear spaces  Hilbert space  Linear operators  Linear functions  Space of bounded linear functionals  Closed graph theorem and its consequences  Compact operators on normed linear spaces  Elements of spectral theory of selfadjoint operators in Hilbert spaces  Measures and integration in Lp[subscript] spaces  Unbounded linear operators  The HahnBanach theorem and optimization problems  Variational problems  The wavelet analysis  Dynamical systems
 Control code
 ocn830323698
 Dimensions
 unknown
 Extent
 1 online resource (xviii, 468 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9780857282224
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 9780857283207
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId

 451429
 22573/ctt1gwxg3r
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)830323698
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Afirstcourseinfunctionalanalysistheory/VyzIdvPx0yo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Afirstcourseinfunctionalanalysistheory/VyzIdvPx0yo/">A first course in functional analysis : theory and applications, Rabindranath Sen</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>