-projection 122
-summand 122
-determined 22
-hereditary function module property 202
(canonical) M-decomposition 112
(generalized version of the) Dauns — Hofmann theorem 60
(hereditary) function module property 186
(local) centralizer-norming system 160
Adjoint operator 62
Alaoglu — Bourbaki theorem 2
Annihilator (of a subspace) 3
Associated function module representation 172
Banach — Stone property for 201
Banach — Stone property, strong Banach — Stone property 142
Banach — Stone Theorem 138
Base space (of a function module) 77
Boolean algebra 5
Canonical M-decomposition 112
Carrier projection 118
centralizer 62
Centralizer-norming system (ens) 152
Complementary L-summand, M-summand 11
Complete Boolean Algebra 6
Component spaces of a function module 77
Cunningham algebra 29
Cylindrical Banach space 146
Dauns — Hofmann theorem 74
Discrepant T-sets 144
Equivalent function module representations 95
Extremally disconnected 4
Face(x) 41
Finer 94
Function module 77
Function module property 183
Function module representation 90
Globally trivial 203
Hahn — Banach theorem 2
Hereditary function module representation 186
Hull 73
Hyperstonean 4
| Increasing family 20
Induced order 5
Krein — Milman theorem 2
Krein — Smulian Theorem 2
L-M-theorem 23
L-projection 12
L-summand 9
Lindenstraub space 28
Local centralizer-norming system 160
Local ens property 160
Locally trivial 203
M-bounded operator 55
M-exponent 112
M-finite 110
M-ideal 34
M-projection 12
M-summand 9
Maximal function module representation 99
Mult(X) 54
Multiplier 54
n-ball property for open/closed balls 46
Norm resolution 92
Operator = continuous linear map 1
Order continuous 4
Partition of unity 5
Primitive M-ideal 73
Restriction of a function module 79
Selfadjoint subalgebra 4
Square Banach space 132
Stonean space 6
Strong Banach — Stone property 142
Strong operator topology 2
Structure topology 58 73
T-set 139
Transposed operator 3
Trivial centralizer 63
Trivial L-projection/M-projection 12
Trivial L-summand/M-summand 10
Trivial M-ideal 36
Weak operator topology 2
weak*-topology 2
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