6533b7d6fe1ef96bd12667e4
RESEARCH PRODUCT
A note on k-generalized projections
Néstor ThomeLeila Lebtahisubject
Pure mathematicsNumerical AnalysisAlgebra and Number TheoryNormal matricesHilbert spaceCharacterization (mathematics)Matrius (Matemàtica)Normal matrixAlgebrasymbols.namesakeLinear algebrasymbolsDiscrete Mathematics and CombinatoricsSpectral projectionGeometry and TopologyÀlgebra linealLinear combinationProjectionst-Potent matricesMathematicsdescription
Abstract In this note, we investigate characterizations for k -generalized projections (i.e., A k = 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. Benitez, N. Thome, Characterizations and linear combinations of k -generalized projectors, Linear Algebra Appl. 410 (2005) 150–159].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 | Linear Algebra and its Applications |