Index o f
Symbol Descriptio n Page
F(D)
Im(a)
ker(T)
P„[a,6]
K
Re(a)
a(T)
span(£')
supp(T)
T 0
T 5
T
t
T*
TA
\T\
\\T\\
v*
x ®y
K*}
11x1 1
Space o f al l function s wit h domai n D.
Orthogonal direc t su m o f Hilber t spaces .
Imaginary par t o f a comple x number .
Kernel o f a n operato r o r matrix .
Square-summable sequence s indexe d b y / .
Space o f linea r operator s fro m V to W .
Orthogonal complement .
Space o f m x n matrices .
Space o f polynomial s o f degre e n .
Polynomials restricte d t o [a , b] wit h degre e
Real numbers .
Real par t o f a comple x number .
Spectrum o f a matri x o r operator .
Transition matri x betwee n bases .
Linear spa n o f a subse t o f a vecto r space .
Support o f a n operator .
Positive operator .
Ordering o f positiv e operators .
Moore-Penrose inverse .
Square roo t o f a positiv e operator .
Operator correspondin g t o a matri x A.
Absolute valu e o f a n operator .
Norm o f a n operator .
Dual o f a vecto r space .
Vector wit h respec t t o basi s B.
Rank-one operator .
Conjugate-transpose o f vecto r x.
Canonical dua l o f fram e {xi}.
Norm o f a vector .
n .
7
34
34
17
28
40
52
37
7
7
5
34
61
23
9
57
48
67
59
67
22
69
74
42
21
71
90
169
29
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