TY  - BOOK
AU  - Kaplan,Samuel
TI  - Lebesgue Theory in the Bidual of C(X)
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401641
AV  - QA3 -- .K375 1996eb 
U1  - 515/.43 
PY  - 1996///
CY  - Providence
PB  - American Mathematical Society
KW  - Lebesgue integral
KW  - Radon measures
KW  - Banach lattices
KW  - Electronic books
N1  - Intro -- Contents -- Introduction -- 1 Preliminaries -- Chapter 1 [omitted][sup(∞)] -- 2 The upper and lower "envelopes" of an element -- 3 The "boundary" of an element -- 4 The "integrable elements -- 5 The negligible elements -- 6 The "μ-integrable elements -- Chapter 2 Convergence -- 7 Almost everywhere order convergence -- 8 Unbounded order convergence -- 9 Almost everywhere unbounded order convergence -- 10 The Dieudonné topology -- 11 Convergence in Measure -- 12 Sequences in [omitted][sup(∞)] -- Chapter 3 Some classical theorems -- 13 Elementary theorems -- 14 The Egorov Theorem -- 15 The Lusin Theorem -- Chapter 4 The Projection of C" onto C"[sub(α)] -- 16 The star elements -- 17 [omitted][sup(∞)] and the star elements -- 18 [omitted][sup(∞)][sub(α)] -- 19 Convergence in C"[sub(α)] -- 20 Back to [omitted][sup(∞)][sub(α)] -- Chapter 5 Lebesgue Theory in C"[sub(α)] -- 21 ∫[sup(*)]fdμ, ∫[sub(*)]fdμ -- 22 ∫fdμ -- 23 The classical theorems -- References -- Index of Terminology -- Index of Symbols
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113913
ER  -