Right(Left)Invertible Completions of Partial Operator Matrices
Let H and K be infinite dimensional Hilbert spaces,for given operators A∈B(H),B∈ B(K,H),C∈ B(K)and D∈B(K),under certain conditions,the necessary and sufficient condi-tions for partial operator matrices(A B ? C)to be right (left)invertible and right(left)invertible completions having the form of(? ? ? D)are given by using the method of space decomposition.
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