A NOTE ON RANK ADDITIVITY AND RANGE ADDITIVITY

Authors
BAKSALARY JK SEMRL P STYAN GPH
Citation
Jk. Baksalary et al., A NOTE ON RANK ADDITIVITY AND RANGE ADDITIVITY, Linear algebra and its applications, 237, 1996, pp. 489-498
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
237
Year of publication
1996
Pages
489 - 498
Database
ISI
SICI code
0024-3795(1996)237:<489:ANORAA>2.0.ZU;2-P
Abstract
Some rank-additivity results for matrices are extended to range-additi vity results for three bounded linear operators acting on an infinite- dimensional Hilbert space. We also give counterexamples showing which of these statements fail for a larger number of operators.