# Some simple proofs in holomorphic spectral theory

Banach Center Publications (2007)

- Volume: 75, Issue: 1, page 9-15
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topGraham R. Allan. "Some simple proofs in holomorphic spectral theory." Banach Center Publications 75.1 (2007): 9-15. <http://eudml.org/doc/281900>.

@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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.