Ascent, descent and roots of Fredholm operators
Bertram Yood
Studia Mathematica, Tome 157 (2003), p. 219-226 / Harvested from The Polish Digital Mathematics Library
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Let T be a Fredholm operator on a Banach space. Say T is rootless if there is no bounded linear operator S and no positive integer m ≥ 2 such that Sm=T. Criteria and examples of rootlessness are given. This leads to a study of ascent and descent whether finite or infinite for T with examples having infinite ascent and descent.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284836 
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Bertram Yood. Ascent, descent and roots of Fredholm operators. Studia Mathematica, Tome 157 (2003) pp. 219-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-3/