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Nonnegative Moore–Penrose inverses of Gram operators

✍ Scribed by T. Kurmayya; K.C. Sivakumar

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
122 KB
Volume
422
Category
Article
ISSN
0024-3795

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✦ Synopsis

This paper is concerned with necessary and sufficient conditions for the nonnegativity of Moore-Penrose inverses of Gram operators between real Hilbert spaces. These conditions include statements on acuteness (or obtuseness) of certain closed convex cones. The main result generalizes a well known result for inverses in the finite dimensional case over the nonnegative orthant to Moore-Penrose inverses in (possibly) infinite dimensional Hilbert spaces over any general closed convex cone.

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