Chapter 15
Jordan's theorem (in Czech):
[1] Věta 5,4,1 (s. 138) nebo [2] Věta 26.5.4 (s. 221).
Chapter 16
Theory of AC functions: see Section D of [3],
in particular Theorems 23.2 and 23.4.
Chapter 18
Krein-Milman theorem: see [6] Theorem 70 (s. 48);
see also elementary text here.
Concerning weak or *-weak sequential compactness in L^p spaces,
see Section 12 in [3], in particular 12.12 and 12.13.
For a more abstract treatment, see here.
[1] I. Černý: Analýza v komplexním oboru. Academia, 1983.
[2] E. Čech: Bodové množiny. Academia, 1966.
[3] J. Lukeš, J. Malý: Measure and Integral. Matfyzpress 1995.
[4] W. Rudin: Analýza v reálném a komplexním oboru. Academia, 2003.
[5] J. Lukeš: Zápisky z funkcionální analýzy. Karolinum, 2003.
[6] P. Habala, P. Hájek, V. Zizler: Introduction to Banach
spaces I. Matfyzpress 1996.