Finite rank elements in semisimple Banach algebras
Brešar, Matej ; Šemrl, Peter
Studia Mathematica, Tome 129 (1998), p. 287-298 / Harvested from The Polish Digital Mathematics Library
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Let A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank are proved.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216487 
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     title = {Finite rank elements in semisimple Banach algebras},
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     volume = {129},
     year = {1998},
     pages = {287-298},
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Brešar, Matej; Šemrl, Peter. Finite rank elements in semisimple Banach algebras. Studia Mathematica, Tome 129 (1998) pp. 287-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv128i3p287bwm/

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