References
Operator theoretic treatments:
- William Arveson (Spetral Measures, Pettis Integral)*
- M. S. Birman, M. Z. Solomjak (Spectral Measures, Pettis Integral)
- J. Blank, P. Exner, M. Havlíček (Spectral Measures, Pettis Integral)
- Brian C. Hall (Spectral Measures, Pettis Integral, Direct Integral)
- John B. Conway (Spectral Measures, Pettis Integral)
- Alexander Frei (Spectral Measures, Pettis Integral)
- Emmanuel Kowalski (Spectral Measures, Pettis Integral)
- Konrad Schmüdgen (Spectral Families, Stiltjies Integral)
(This list is not comprehensive!)
Recommendations
Recommendations with highlights:
- M. S. Birman, M. Z. Solomjak (Book): Extension of Pettis Integral
- John B. Conway (Book): Approximation of Normals Operators
- Alexander Frei (Posts): Transformation of Normal Operators
(This list is personal opinion.)
Denominations
By spectral measures it is meant maps from Borel algebra.
By spectral families it is meant maps from real line.
Attention
Spectral families and Stiltjies integrals are superflous:
They seemed to arose for missing interpretion of integrals.
The modern approach exploits the Pettis integral.
(In fact, it only imitates the Pettis integral.)