2744 INDEX
locally compact , 167locally convex topological vector space, 479locally finite, 421, 1023, 1253logarithm
branch of logarithm, 1653lower semicontinuous, 487
equivalent conditions, 908Lusin’s theorem, 416Lyapunov Schmidt procedure, 735
manifold, 1257manifolds
boundary, 1061interior, 1061orientable, 1063radon measure, 1259smooth, 1063surface measure, 1259
mappingcompact, 790
Marcinkiewicz interpolation, 1121martingale, 1948
quadratic variation, 2121martingales
equiintegrable, 2105matrix
left inverse, 76lower triangular, 77non defective, 90normal, 90right inverse, 76upper triangular, 77
maximal chain, 2725maximal function
Radon measures, 1081maximal monotone
approximation, 896, 2646coercive, 893equivalent conditions, 880evolution inclusion, 1374interior of domain, 884linear map, 927onto, 892pseudomonotone, 887subgradient, 911
sum of two of them, 902, 904sum with duality map, 881sum with monotone and hemicontinu-
ous, 902maximal monotone
Banach space, 868maximal monotone operator, 1367
sum with a subgradient, 919maximum modulus theorem, 1655McShane’s lemma, 623mean ergodic theorem, 494mean value inequality, 120, 716, 731mean value theorem, 716, 731
for integrals, 58measurable, 269
Borel, 226multifunctions, 1533, 2391
measurable function, 226pointwise limits, 226
measurable functionsBorel, 234combinations, 231
measurable rectangle, 321, 397measurable representative, 677measurable selection, 1534, 1536, 2392
from set of limits, 1578measurable selection theorem, 2597
improved version, 2603limits of measurable functions, 2603
measurable sets, 223, 269measure
σ finite, 261inner regular, 259outer regular, 259
measure space, 223isomorphic, 1527regular, 407separable, 1527
measuresregularity, 259
Mellin transformations, 1691meromorphic, 1638Merten’s theorem, 1768metric, 137
properties, 137