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 all function s wit h domai n D. Orthogonal direc t su m o f Hilbert spaces . Imaginary par t o f a complex number . Kernel o f a n operato r o r matrix . Square-summable sequence s indexe d b y / . Space o f linear operator s fro m V to W . Orthogonal complement . Space o f m x n matrices . Space o f polynomials o f degree n . Polynomials restricte d t o [a , b] wit h degre e Real numbers . Real par t o f a complex number . Spectrum o f a matrix o r operator . Transition matri x betwee n bases . Linear spa n o f a subset o f a vector space . Support o f a n operator . Positive operator . Ordering o f positive operators . Moore-Penrose inverse . Square roo t o f a positive operator . Operator correspondin g t o a matrix A. Absolute valu e o f an operator . Norm o f a n operator . Dual o f a vector space . Vector wit h respec t t o basi s B. Rank-one operator . Conjugate-transpose o f vector x. Canonical dua l o f frame {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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