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A classical result of Konig in terms of matrices states that for 1 p 0 not depending on the matrix A , where ‖A‖q,p denotes the norm of A viewed as an operator from q into n p . We refine this result for 1 p < q 2 by means of interpolation of Banach spaces. Mathematics subject classification (2010): Primary: 15A60, secondary: 15A42, 65F35, 46B70, 47B06, 47B10.

Estimating eigenvalues of matrices by induced norms