Structures of left n-invertible operators and their applications

Caixing Gu. "Structures of left n-invertible operators and their applications." Studia Mathematica 226.3 (2015): 189-211. <http://eudml.org/doc/285773>.

@article{CaixingGu2015,
abstract = {We study left n-invertible operators introduced in two recent papers. We show how to construct a left n-inverse as a sum of a left inverse and a nilpotent operator. We provide refinements for results on products and tensor products of left n-invertible operators by Duggal and Müller (2013). Our study leads to improvements and different and often more direct proofs of results of Duggal and Müller (2013) and Sid Ahmed (2012). We make a conjecture about tensor products of left n-invertible operators and prove this conjecture in several cases. Finally, applications of these results are given to left n-invertible elementary operators and essentially left n-invertible operators.},
author = {Caixing Gu},
journal = {Studia Mathematica},
keywords = {Banach space; left -invertible operator; nilpotent operator; generalized derivation; tensor product},
language = {eng},
number = {3},
pages = {189-211},
title = {Structures of left n-invertible operators and their applications},
url = {http://eudml.org/doc/285773},
volume = {226},
year = {2015},
}

TY - JOUR
AU - Caixing Gu
TI - Structures of left n-invertible operators and their applications
JO - Studia Mathematica
PY - 2015
VL - 226
IS - 3
SP - 189
EP - 211
AB - We study left n-invertible operators introduced in two recent papers. We show how to construct a left n-inverse as a sum of a left inverse and a nilpotent operator. We provide refinements for results on products and tensor products of left n-invertible operators by Duggal and Müller (2013). Our study leads to improvements and different and often more direct proofs of results of Duggal and Müller (2013) and Sid Ahmed (2012). We make a conjecture about tensor products of left n-invertible operators and prove this conjecture in several cases. Finally, applications of these results are given to left n-invertible elementary operators and essentially left n-invertible operators.
LA - eng
KW - Banach space; left -invertible operator; nilpotent operator; generalized derivation; tensor product
UR - http://eudml.org/doc/285773
ER -