First results on spectrally bounded operators

M. Mathieu, and G. J. Schick. "First results on spectrally bounded operators." Studia Mathematica 152.2 (2002): 187-199. <http://eudml.org/doc/284462>.

@article{M2002,
abstract = {A linear mapping T from a subspace E of a Banach algebra into another Banach algebra is defined to be spectrally bounded if there is a constant M ≥ 0 such that r(Tx) ≤ Mr(x) for all x ∈ E, where r(·) denotes the spectral radius. We study some basic properties of this class of operators, which are sometimes analogous to, sometimes very different from, those of bounded operators between Banach spaces.},
author = {M. Mathieu, G. J. Schick},
journal = {Studia Mathematica},
keywords = {spectral structure; spectrally bounded operator; Banach algebra; automatic continuity},
language = {eng},
number = {2},
pages = {187-199},
title = {First results on spectrally bounded operators},
url = {http://eudml.org/doc/284462},
volume = {152},
year = {2002},
}

TY - JOUR
AU - M. Mathieu
AU - G. J. Schick
TI - First results on spectrally bounded operators
JO - Studia Mathematica
PY - 2002
VL - 152
IS - 2
SP - 187
EP - 199
AB - A linear mapping T from a subspace E of a Banach algebra into another Banach algebra is defined to be spectrally bounded if there is a constant M ≥ 0 such that r(Tx) ≤ Mr(x) for all x ∈ E, where r(·) denotes the spectral radius. We study some basic properties of this class of operators, which are sometimes analogous to, sometimes very different from, those of bounded operators between Banach spaces.
LA - eng
KW - spectral structure; spectrally bounded operator; Banach algebra; automatic continuity
UR - http://eudml.org/doc/284462
ER -