Spectral Theory

Functional Analysis Examples c-4
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( 18 )
80 pages
Sprog:
 English
In this book you find the basic mathematics that is needed by engineers and university students .
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Om forfatteren

Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until h...

Description
Content

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Topological, metric, Hilbert and Banach spaces and Spectral Theory are illustrated.

This book requires knowledge of Calculus 1 and Calculus 2.

  1. Spectrum and resolvent
  2. The adjoint of a bounded operator
  3. Self adjoint operator
  4. Isometric operators
  5. Unitary and normal operators
  6. Positive operators and projections
  7. Compact operators
  8. Index