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 t A, 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 Djf(x), 150 Dvf(x), 150 Dijf(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, 239 F , 252 F(X, F ), 315 ˜ , 240 f (x), 142 f g, 222, 239 f + , 182, 206 f , 182, 206 GLn(F ), 344 glb, 3 ˆ, 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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