Ascent, descent and roots of Fredholm operators

Bertram Yood. "Ascent, descent and roots of Fredholm operators." Studia Mathematica 158.3 (2003): 219-226. <http://eudml.org/doc/284836>.

@article{BertramYood2003,
abstract = {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.},
author = {Bertram Yood},
journal = {Studia Mathematica},
keywords = {Fredholm operator; index; ascent; descent},
language = {eng},
number = {3},
pages = {219-226},
title = {Ascent, descent and roots of Fredholm operators},
url = {http://eudml.org/doc/284836},
volume = {158},
year = {2003},
}

TY - JOUR
AU - Bertram Yood
TI - Ascent, descent and roots of Fredholm operators
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 3
SP - 219
EP - 226
AB - 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.
LA - eng
KW - Fredholm operator; index; ascent; descent
UR - http://eudml.org/doc/284836
ER -