Index
(f, g), 10
· m, 325
· q, 339
α(A), 101
β(A), 101
Δ(A), 332
ΔM (A), 333
dim V, 80
Γ(A), 332
ΓM (A), 332
ν(A), 332
Φ perturbation function, 350
Φ-set, 129
Φ(X, Y ), 101
Φ−(X, Y ), 122
Φα perturbation function, 350
Φ+ perturbation function, 350
Φ+(X, Y ), 117
ΦA, 129
Φ (X), 331
Φr(X), 331
R
n
, 9
ρ(A), 131, 171
ρ(a), 202
ρ(a1, · · · , an), 208
σ(A), 131, 171
σ(a), 202
σ(a1, · · · , an), 208
τ(A), 332
τM (A), 335
ε-net, 95
◦T,
59
A-compact, 162
A-exact, 356
A(U), 96
B(X, Y ), 56
B[a, b], 16
C[a, b], 6
F (X), 215
F−(X), 221
F+(X), 218
G , 330
Gr, 330
i(A), 101
j(A), 350
Jx, 113
K(X, Y ), 88
L2, 21
l∞, 12
l2, 14
lp, 39
N(A), 58
NBV [a, b], 193
p(A), 132
Pσ(A), 131
q(Ω), 339, 398
R(A), 58
R(X), 213
rσ(A), 132
S◦,
59
X \ M, 84
X , 38
X/M, 68
abelian Banach algebras, 206
adjoint operator, 57, 155
annihilators, 59
approximation by operators of finite rank,
252
axiom of choice, 207, 211
423
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