The Resource A primer on Hilbert space theory : linear spaces, topological spaces, metric spaces, normed spaces, and topological groups, Carlo Alabiso, Ittay Weiss

A primer on Hilbert space theory : linear spaces, topological spaces, metric spaces, normed spaces, and topological groups, Carlo Alabiso, Ittay Weiss

Label
A primer on Hilbert space theory : linear spaces, topological spaces, metric spaces, normed spaces, and topological groups
Title
A primer on Hilbert space theory
Title remainder
linear spaces, topological spaces, metric spaces, normed spaces, and topological groups
Statement of responsibility
Carlo Alabiso, Ittay Weiss
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Alabiso, Carlo
Dewey number
515/.733
Index
index present
LC call number
QA322.4
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Weiss, Ittay
Series statement
UNITEXT for physics
http://library.link/vocab/subjectName
  • Hilbert space
  • Topological spaces
  • Metric spaces
  • Normed linear spaces
  • MATHEMATICS
  • MATHEMATICS
  • Hilbert space
  • Metric spaces
  • Normed linear spaces
  • Topological spaces
Label
A primer on Hilbert space theory : linear spaces, topological spaces, metric spaces, normed spaces, and topological groups, Carlo Alabiso, Ittay Weiss
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-03713-4
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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
1 Introduction and Preliminaries -- 2 Linear Spaces -- 3 Topological Spaces -- 4 Metric Spaces -- 5 Normed Spaces -- 6 Topological Groups -- 7 Solved Problems
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319037134
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-03713-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)893102813
  • (OCoLC)ocn893102813
Label
A primer on Hilbert space theory : linear spaces, topological spaces, metric spaces, normed spaces, and topological groups, Carlo Alabiso, Ittay Weiss
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-03713-4
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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
1 Introduction and Preliminaries -- 2 Linear Spaces -- 3 Topological Spaces -- 4 Metric Spaces -- 5 Normed Spaces -- 6 Topological Groups -- 7 Solved Problems
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319037134
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-03713-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)893102813
  • (OCoLC)ocn893102813

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