Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries
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AbstractWe study the problem concerning the maximality of the deficiency indices of operators generated by symmetric Jacobi matrices with matrix entries in the space
$$\user1{l}_2$$
. Effective conditions for the maximality of the deficiency indices are given in terms of entries of the Jacobi matrix. These conditions are new even in the scalar (one-dimensional) case.
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