Math 2.0

Operator theory Spectral theory: foundations Concept

Point spectrum

Summary

The point spectrum of an operator is its set of eigenvalues. It is the part of the spectrum where T−λIT - \lambda I fails to be injective. For matrices the point spectrum is the whole spectrum, but in infinite dimensions it can be a small part of it, or empty.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Spectrum_(functional_analysis)
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