[Sommes d'opérateurs unitairement équivalents]
Des conditions simples sur les opérateurs positifs A et K assurent que A s'écrit comme une série dans l'orbite unitaire de K.
Some simple conditions on positive operators A and K ensure that A can be written as a series in the unitary orbit of K.
Accepté le :
Publié le :
Eun-Young Lee 1 ; Jean-Christophe Bourin 2
@article{CRMATH_2014__352_5_435_0, author = {Eun-Young Lee and Jean-Christophe Bourin}, title = {Sums of unitarily equivalent positive operators}, journal = {Comptes Rendus. Math\'ematique}, pages = {435--439}, publisher = {Elsevier}, volume = {352}, number = {5}, year = {2014}, doi = {10.1016/j.crma.2014.03.012}, language = {en}, }
Eun-Young Lee; Jean-Christophe Bourin. Sums of unitarily equivalent positive operators. Comptes Rendus. Mathématique, Volume 352 (2014) no. 5, pp. 435-439. doi : 10.1016/j.crma.2014.03.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.03.012/
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- Pinchings and positive linear maps, Journal of Functional Analysis, Volume 270 (2016) no. 1, p. 359 | DOI:10.1016/j.jfa.2015.06.025
- Direct sums of positive semi-definite matrices, Linear Algebra and its Applications, Volume 463 (2014), p. 273 | DOI:10.1016/j.laa.2014.09.012
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