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Nonnegative Moore–Penrose inverses of Gram operators. (English) Zbl 1122.15007

The main purpose of this work is to generalize the characterization of nonnegativity of inverses of Gram matrices in two directions: from finite dimensional real Euclidean spaces to (possibly) infinite dimensional real Hilbert spaces and from classical inverses to Moore-Penrose inverses.

MSC:

15A09 Theory of matrix inversion and generalized inverses
15B48 Positive matrices and their generalizations; cones of matrices
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47B65 Positive linear operators and order-bounded operators
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References:

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