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The Resource Metrics, Norms, Inner Products, and Operator Theory, by Christopher Heil, (electronic resource)

Metrics, Norms, Inner Products, and Operator Theory, by Christopher Heil, (electronic resource)

Label
Metrics, Norms, Inner Products, and Operator Theory
Title
Metrics, Norms, Inner Products, and Operator Theory
Statement of responsibility
by Christopher Heil
Creator
Author
Subject
Language
eng
Summary
This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of lp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Heil, Christopher
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
I4GtoEs9VjU
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Applied and Numerical Harmonic Analysis,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Functional analysis
  • Operator theory
Label
Metrics, Norms, Inner Products, and Operator Theory, by Christopher Heil, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-65322-8
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
Preface -- Notation and Preliminaries -- Metric Spaces -- Norms and Banach Spaces -- Further Results on Banach Spaces -- Inner Products and Hilbert Spaces -- Operator Theory -- Operators and Hilbert Spaces
Control code
978-3-319-65322-8
Dimensions
unknown
Extent
1 online resource (XXI, 359 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
9783319653228
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
35 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1050994747
Label
Metrics, Norms, Inner Products, and Operator Theory, by Christopher Heil, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-65322-8
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
Preface -- Notation and Preliminaries -- Metric Spaces -- Norms and Banach Spaces -- Further Results on Banach Spaces -- Inner Products and Hilbert Spaces -- Operator Theory -- Operators and Hilbert Spaces
Control code
978-3-319-65322-8
Dimensions
unknown
Extent
1 online resource (XXI, 359 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
9783319653228
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
35 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1050994747

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