Ascent, descent and roots of Fredholm operators

• Autorzy: Bertram Yood
• Języki publikacji: EN

Abstrakty

EN

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 $S^{m} = T$. 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.

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 158
• Numer: 3
• Strony: 219-226

Daty

wydano

2003

Twórcy

autor

Bertram Yood

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

Identyfikatory

DOI

10.4064/sm158-3-3