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An Operator Pseudo-Inversion Lemma

โœ Scribed by Ogawa, Hidemitsu

Book ID
118194000
Publisher
Society for Industrial and Applied Mathematics
Year
1988
Tongue
English
Weight
305 KB
Volume
48
Category
Article
ISSN
0036-1399

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An Operator Pseudo-Inversion Lemma
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Frame Approximation of Pseudo-Inverse Op
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Let T denote an operator on a Hilbert space โ€ข โ€ข , and let f i โˆž i=1 be a frame for the orthogonal complement of the kernel N T . We construct a sequence of operators n of the form n โ€ข = n i=1 โ€ข g n i f i which converges to the psuedoinverse T โ€  of T in the strong operator topology as n โ†’ โˆž. The oper