2008•Basic Sciences Journal of Textile UniversitiesRequires access

The expression of the generalized Bott-Duffin inverse of linear operators

Hong-Ke Du

Abstract

In order to investigate the generalized Bott-Duffin inverse of A with respect to a closed subspace M on a infinite dimensional Hilbert space,the technique of block operator matrix is aplied,its representations and its property are investigated.The explicitrep resentations of the generalized Bott-Duffin inverse of linear operators is given.

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Key concepts: Mathematics, Inverse, Generalized inverse, Hilbert space, Linear map, Subspace topology, Pure mathematics, Linear operators