Generalized Schur complements and oblique projections

By Gustavo Corach, Alejandra Maestripieri, Demetrio Stojanoff. 2002

52 citations recorded by the source corpus.

Let S be a closed subspace of a Hilbert space H and A a bounded linear selfadjoint operator on H. In this note, we show that the existence of A-selfadjoint projections with range S is related to some properties of shorted operators, Schur complements (in Ando’s generalization of the classical concept) and compressions. © 2001 Elsevier Science Inc. All rights reserved.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/aa3362d0d6335490c45934697f5d6ef0bd3852da

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jorge Antezana
2. Gustavo Corach
3. Demetrio Stojanoff
4. Kais Feki

In Computational Theory and Mathematics

1. Gustavo Corach
2. Kais Feki
3. Pintu Bhunia
4. Kallol Paul
5. Ali Zamani
6. Hamadi Baklouti

Citations in the corpus

• Metric Properties of Projections in Semi-Hilbertian Spaces (2008, background): “For a fuller treatment on the theory of compatibility see [9], [10] and [12].”
• Bilateral Shorted Operators and Parallel Sums (2005, background): “The reader is referred to [15,24,14] for more information about A-self-adjoint projections.”