A general theory of measures for nonnegative matrices |
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Authors: | DJ Hartfiel |
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Institution: | Mathematics Department Texas A & M University College Station, Texas 77843, U.S.A. |
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Abstract: | By a measure μ on the set N of m × n nonnegative matrices we mean that μ is a function from N to the nonnegative reals such that (i) μ(λA)=λμ(A) for all nonnegative λ and all A ∈ N, and (ii) μ(A + B) ? μ(A) for all A,B ? N. This paper develops a theory of such measures and shows how this theory can be applied to particular problems. |
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