﻿141031: [HaTa] reference updated [JohaZa] reference updated [Lej2] reference: polish -> Polish Proof of Theorem 1.110: $y\in Y$ -> $y\in X$ 141210: Proof of Corollary 5.43: $x^p$ -> $\norm x^p$ Strengthened Theorem 7.56 (and Proposition 7.58). 141228: More detailed proof of Proposition 7.58 150207: Fixed the estimate in the remark after Theorem 7.90. 150219: remark after Definition 1.124, Lemma 5.19, Lemma 5.20, Theorem 5.138: cone -> convex cone 150224: some slight improvements to section 7.5: added remark after Definition 7.47, added Corollary 7.51 partitions in Theorem 7.57 are now on any open set 150323: Theorem 2.45: n -> N Intro to Section 5.1: we -> be negligible change in Fact 4.37 (now Fact 4.38) Corollary 4.41 (previous numbering) split into Lemma 4.20 and Corollary 4.42 (new numbering). Changes in the beginning of Section 5.9: Improved some formulations, added remarks, added Lemma 5.135, added Example 5.138, fixed the lack of RNP in the proof of Theorem 5.137 (old numbering). 150626: [DHJ] reference updated 151130: Fact 5.123: Fixed poor formulations. Also, in the printed version one sentence is repeated in the proof (introduced in the post-processing phase). [HV3] reference updated 160129: In notation section: C_u(PQ) -> C_u(P;Q) 160312: Proof of Proposition 5.49: even -> odd Fact 6.64: n=1 -> n=0 160522: Theorems 7.31 and 7.75, Lemmata 7.70, 7.72, 7.74, Corollary 7.71 work for mapping into a closed convex set. Minutely more convenient formulation of Corollary 1.159. 160611: Introduction to Section 3.2: basis of topology -> system of neighbourhoods 160913: Added Fact 1.121. Proof of Corollary 1.127: $x,h\in U$ -> $x,x+h\in U$ Unnecessary assumption of sub-additivity removed from Theorem 4.9, Corollary 4.11, Lemma 5.19, Lemma 5.20, Theorem 5.46, and Theorem 5.50. Slightly improved formulation of Lemma 5.19. Slightly changed (for more details) proof of Theorem 5.46. 161025: Added Proposition 7.48; made corresponding changes in the proof of Theorem 7.58 (new numbering). Fixed the proof of Proposition 7.60(i) (new numbering). 161208: Added Theorem 5.126, Theorem 5.128, and remark after Corollary 5.132 (new numbering). 170129: Remark after Definition 7.47: Gâteaux -> continuous Gâteaux Corollary 3.69: removed superfluous ( Fixed typo in the index entry for script L_p spaces. Problem 6.86: removed superfluous "is". 170316: Remark after Theorem 2.76: added missing 'we'. Proof of Lemma 4.33: the last equality changed to inequality. 171017: Corrected the attribution of Lemma 3.116 to Friedrich Wiener (see [Boas, Khavinson: Vita: Friedrich Wilhelm Wiener]). 180226: Some negligible formal changes in the proof of Proposition 7.60. Some small changes and simplifications around Definition 6.35 (property B) and subsequent Proposition 6.37, Theorem 6.69.