×

The expression of the generalized Bott-Duffin inverse of linear operators. (Chinese. English summary) Zbl 1174.15311

Summary: In order to investigate the generalized Bott-Duffin inverse of \(A\) with respect to a closed subspace \(\mathcal{M}\) on a infinite dimensional Hilbert space, the technique of block operator matrix is applied, its representations and its property are investigated. The explicit representation of the generalized Bott-Duffin inverse of linear operators is given.

MSC:

15A09 Theory of matrix inversion and generalized inverses
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
PDFBibTeX XMLCite