Non negative Moore-Penrose Iinverses of Unbounded Gram Operators

2014/10/09 by T. Kurmayya, Kurmayya, T., G. Ramesh +1
Computer Science · Mathematics · #47B65 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:47B65

paper · pdf · doi:10.48550/arxiv.1410.2387

9 pages

arxiv created 2014/10/09 · openalex publication_date 2014/10/09 · arxiv updated 2016/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we derive necessary and sufficient conditions for the nonnegativity of Moore-Penrose inverses of unbounded Gram operators between real Hilbert spaces. These conditions include statements on acuteness of certain closed convex cones. The main result generalizes the existing result for bounded operators [11, Theorem 3.6].

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