Ascent, descent and roots of Fredholm operators

Tom 158 / 2003

Bertram Yood Studia Mathematica 158 (2003), 219-226 MSC: Primary 47A53. DOI: 10.4064/sm158-3-3

Streszczenie

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.

Autorzy

  • Bertram YoodDepartment of Mathematics
    Pennsylvania State University
    University Park, PA 16802, U.S.A.

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