A Primer on Hilbert Space Theory

Released on by Carlo Alabiso
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  • A Primer on Hilbert Space Theory Book Detail

  • Author : Carlo Alabiso
  • Release Date : 2014-10-08
  • Publisher : Springer
  • Genre : Science
  • Pages : 267
  • ISBN 13 : 3319037137
  • File Size : 7,7 MB
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A Primer on Hilbert Space Theory by Carlo Alabiso PDF Summary

Book Description: 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.

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A Primer on Hilbert Space Theory

A Primer on Hilbert Space Theory

File Size : 56,56 MB
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This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metri

A Primer on Hilbert Space Operators

A Primer on Hilbert Space Operators

File Size : 44,44 MB
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The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral th

Operators on Hilbert Space

Operators on Hilbert Space

File Size : 16,16 MB
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The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral