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Primer on hilbert space theory : linear, topological, metric, and normed spaces

Author: Michele Alabiso; Ittay Weiss
Publisher: Cham, Switzerland ; Heidelberg [Germany] : Springer International Publishing, 2015. ©2015
Edition/Format:   eBook : Document : English
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Alabiso, Michele.
Primer on hilbert space theory : linear, topological, metric, and normed spaces.
Cham, Switzerland ; Heidelberg, [Germany] : Springer International Publishing, ©2015
xvii, 255 pages
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michele Alabiso; Ittay Weiss
ISBN: 9783319037134 3319037137
OCLC Number: 896861714
Description: 1 online resource (267 pages) : illustrations
Contents: 1 Introduction and Preliminaries --
2 Linear Spaces --
3 Topological Spaces --
4 Metric Spaces --
5 Normed Spaces --
6 Topological Groups --
7 Solved Problems.
Responsibility: Carlo Alabiso, Ittay Weiss.

Abstract:

This introduction to Hilbert space will equip the reader for more demanding further study. It builds a pedagogic bridge between the rigorous style of mathematics and the more practical perspective of  Read more...

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"This book introduces essential ideas and results of Hilbert space and linear operator theory to beginners in quantum physics. ... The textbook is suitable for advanced undergraduate or introductory Read more...

 
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