Some simple proofs in holomorphic spectral theory

@article{GrahamR2007,
abstract = {This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.},
author = {Graham R. Allan},
journal = {Banach Center Publications},
keywords = {Banach algebra; spectral radius; holomorphic spectral theory; automatic continuity},
language = {eng},
number = {1},
pages = {9-15},
title = {Some simple proofs in holomorphic spectral theory},
url = {http://eudml.org/doc/281900},
volume = {75},
year = {2007},
}

TY - JOUR
AU - Graham R. Allan
TI - Some simple proofs in holomorphic spectral theory
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 9
EP - 15
AB - This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.
LA - eng
KW - Banach algebra; spectral radius; holomorphic spectral theory; automatic continuity
UR - http://eudml.org/doc/281900
ER -