---
res:
bibo_abstract:
- 'Let Sigma be a bounded set of complex matrices, Sigma(m) = {A(1)...A(m) : A(i)
is an element of Sigma}. The generalized spectral-radius theorem states that rho(Sigma)=
<(rho)over cap>(Sigma), where rho(Sigma) and <(rho)over cap>(sigma) are defined
as follows: rho(Sigma) = lim sup rho(m)(Sigma){1/m}, where rho(m)(Sigma) = sup
{rho(A) : A is an element of Sigma(m)} with rho (A) the spectral radius; <(rho)over
cap>(Sigma) = lim sup <(rho)over cap>(m)(Sigma){1/m}, where <(rho)over cap>(m)(Sigma)
= sup {parallel to A parallel to: A is an element of Sigma(m)} with parallel to
parallel to any matrix norm. We give an elementary proof, based on analytic and
geometric tools, which is in some ways simpler than the first proof by Berger
and Wang.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Ludwig
foaf_name: Elsner, Ludwig
foaf_surname: Elsner
foaf_workInfoHomepage: http://www.librecat.org/personId=10509
bibo_doi: 10.1016/0024-3795(93)00320-Y
bibo_volume: 220
dct_date: 1995^xs_gYear
dct_identifier:
- UT:A1995RC37100008
dct_isPartOf:
- http://id.crossref.org/issn/0024-3795
dct_language: eng
dct_publisher: ELSEVIER SCIENCE PUBL CO INC@
dct_title: 'The generalized spectral-radius theorem: An analytic-geometric proof@'
...