Solution of a tridiagonal operator equation
نویسندگان
چکیده
منابع مشابه
Solution of a tridiagonal operator equation
Let H be a separable Hilbert space with an orthonormal basis {en/n ∈ N}, T be a bounded tridiagonal operator on H and Tn be its truncation on span ({e1, e2, . . . , en}). We study the operator equation T x = y through its finite dimensional truncations Tnx = yn. It is shown that if {‖T−1 n en‖} and {‖T ∗−1 n en‖} are bounded, then T is invertible and the solution of T x = y can be obtained as a...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.10.014