Index of Notation Definitions
[·], 295
, 55
, 55
∂A, 40
∂f
∂xj
, 151
R
f(x)dx, 187
X
fdμ, 208
∇f(x), 155
∅, 272
| · |θ, 94
| · |p, 85
· , 34, 107
· ∞, 36, 103
· p, 35, 102
· p, 1 p ∞, 217
A◦,
42
An, 326
A, 24
AR, 24
Aut (F ), 18
A, 41
tA,
327
Bn,
40
Br(x), 36
Br(x0), 36
BC(X, F ), 50
BL(V ), 108
BL(V, W ), 107, 108
B(X, F ), 44
C∞(a, b), 147
Ck(U),
147, 162
Ck(a,
b), 147
C, 19
c, 303
C(X, F ), 103
Cc(X, F ), 103
c(F ), 104
c0(F ), 104
D+f,
183
D−f, 183
DN (θ), 242
Dj f(x), 150
Dvf(x), 150
Dij f(x), 161
Df(x), 142, 150
det A, 327
diam(A), 43
d(A, B), 58
d(x, y), 34
d+f,
183
d−f,
183
d∞(x, y), 36
dp(x, y), 35
ej , 104
Fθ, 95
Fp, 19
ˆ,
f 239
F , 252
F(X, F ), 315
˜,
f 240
f (x), 142
f g, 222, 239
f
+,
182, 206
f −, 182, 206
GLn(F ), 344
glb, 3
ˆ,
G 247
Hx(v), 168
inf, 3
I(V ), 120
J(x), 224
ker, 321, 343
L(f, P ), 186
Lp(μ),
217
L. i. m., 114
p,
1 p ∞, 102
p
n, 1 p ∞, 36
lim inf, 54
lim sup, 54
lub, 3
L (f), 255
L (f, R), 186
361
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