On λ-commuting operators
John B. Conway ; Gabriel Prǎjiturǎ
Studia Mathematica, Tome 166 (2005), p. 1-9 / Harvested from The Polish Digital Mathematics Library

For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284822
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-1-1,
     author = {John B. Conway and Gabriel Pr\v ajitur\v a},
     title = {On $\lambda$-commuting operators},
     journal = {Studia Mathematica},
     volume = {166},
     year = {2005},
     pages = {1-9},
     zbl = {1084.47014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-1-1}
}
John B. Conway; Gabriel Prǎjiturǎ. On λ-commuting operators. Studia Mathematica, Tome 166 (2005) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-1-1/