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Finite-dimensional approximation of the inverse frame operator

✍ Scribed by Ole Christensen

Book ID
110543652
Publisher
SP Birkhäuser Verlag Boston
Year
2000
Tongue
English
Weight
484 KB
Volume
6
Category
Article
ISSN
1069-5869

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Frame Approximation of Pseudo-Inverse Op
Frame Approximation of Pseudo-Inverse Operators
✍ Ole Christensen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 86 KB

Let T denote an operator on a Hilbert space • • , and let f i ∞ 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 • = n i=1 • g n i f i which converges to the psuedoinverse T † of T in the strong operator topology as n → ∞. The oper