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Pseudo-inversion, stable to perturbations, of closed operators

โœ Scribed by V.I. Meleshko

Publisher
Elsevier Science
Year
1977
Weight
784 KB
Volume
17
Category
Article
ISSN
0041-5553

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Frame Approximation of Pseudo-Inverse Op
Frame Approximation of Pseudo-Inverse Operators
โœ Ole Christensen ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 86 KB

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