Article ID Journal Published Year Pages File Type
4603795 Linear Algebra and its Applications 2007 4 Pages PDF
Abstract

In this note, we investigate characterizations for k-generalized projections (i.e., Ak = A∗) on Hilbert spaces. The obtained results generalize those for generalized projections on Hilbert spaces in [Hong-Ke Du, Yuan Li, The spectral characterization of generalized projections, Linear Algebra Appl. 400 (2005) 313–318] and those for matrices in [J. Benítez, N. Thome, Characterizations and linear combinations of k-generalized projectors, Linear Algebra Appl. 410 (2005) 150–159].

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory