Geodesic
Ascent, descent and roots of Fredholm operators
Bertram Yood 1
1 Department of Mathematics Pennsylvania State University University Park, PA 16802, U.S.A.
Studia Mathematica, Tome 158 (2003) no. 3, pp. 219-226 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $m\geq 2$ such that $S^m=T$. 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.
DOI : 10.4064/sm158-3-3
Keywords: fredholm operator banach space say rootless there bounded linear operator positive integer geq criteria examples rootlessness given leads study ascent descent whether finite infinite examples having infinite ascent descent

Bertram Yood  1

1 Department of Mathematics Pennsylvania State University University Park, PA 16802, U.S.A. 
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Bertram Yood. Ascent, descent and roots of Fredholm operators. Studia Mathematica, Tome 158 (2003) no. 3, pp. 219-226. doi: 10.4064/sm158-3-3

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