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Nonnegative Moore-Penrose inverses of operators over Hilbert spaces

โœ Scribed by T. Kurmayya; K. C. Sivakumar

Publisher
Springer
Year
2008
Tongue
English
Weight
158 KB
Volume
12
Category
Article
ISSN
1385-1292

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๐Ÿ“œ SIMILAR VOLUMES

Nonnegative Mooreโ€“Penrose inverses of Gr
Nonnegative Mooreโ€“Penrose inverses of Gram operators
โœ T. Kurmayya; K.C. Sivakumar ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 122 KB

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 re

Mooreโ€“Penrose inverses of partitioned ad
Mooreโ€“Penrose inverses of partitioned adjointable operators on Hilbert -modules
โœ Qingxiang Xu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

A 1 h 1 + A 2 h 2 for h i โˆˆ H i , i = 1, 2. In this paper, several formulae for the Moore-Penrose inverse A โ€  of A are derived, and an approach to constructing the weighted Moore-Penrose inverse from the nonweighted case is provided. In particular, the main result of Udwadia and Phohomsiri [F.E. Udw