Bad properties of the Bernstein numbers

Albrecht Pietsch

Studia Mathematica, Tome 187 (2008), p. 263-269 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that the classes $_{p}^{b e r n} : = T : (b ₙ (T)) \in l_{p}$ associated with the Bernstein numbers bₙ fail to be operator ideals. Moreover, $_{p}^{b e r n} \circ_{q}^{b e r n} ⊈_{r}^{b e r n}$ for 1/r = 1/p + 1/q.

Publié le : 2008-01-01

Zbl 1138.47010

EUDML-ID : urn:eudml:doc:284414

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-5,
     author = {Albrecht Pietsch},
     title = {Bad properties of the Bernstein numbers},
     journal = {Studia Mathematica},
     volume = {187},
     year = {2008},
     pages = {263-269},
     zbl = {1138.47010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-5}
}

Albrecht Pietsch. Bad properties of the Bernstein numbers. Studia Mathematica, Tome 187 (2008) pp. 263-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-5/