Abstract
The purpose of this chapter is to introduce the Reader to the notion of spectral measure associated with a self-adjoint operator. Let \(\mathscr {L}\) be a self-adjoint operator on \( \mathsf {H}\).
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Notes
- 1.
it is stable under taking finite intersections
- 2.
it is stable under taking non-decreasing unions and by proper differences
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Cheverry, C., Raymond, N. (2021). ABOUT THE SPECTRAL MEASURE. In: A Guide to Spectral Theory. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-67462-5_8
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DOI: https://doi.org/10.1007/978-3-030-67462-5_8
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