On the Continuity of Generalized Inverses of Linear Operators in Hilbert Spaces

Document Type

Article

Publication Date

9-1-1997

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let X and Y be Hilbert spaces, and let T : X --> Y be a bounded linear operator with closed range. We study the continuity problem of the generalized inverse of T and related least squares solutions to the operator equation Tx = y. (C) Elsevier Science Inc., 1997.

Publication Title

Linear Algebra and Its Applications

Volume

262

First Page

229

Last Page

242

Find in your library

Share

COinS