Open AccessSpectral systems with the one-way spectral mapping property
Author(s) -
Arne Kokk
Publication year - 2001
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2001.05.06
Subject(s) - multiplicative function , property (philosophy) , mathematics , spectral properties , pure mathematics , finitely generated abelian group , spectral analysis , mathematical analysis , physics , philosophy , epistemology , quantum mechanics , spectroscopy , astrophysics
For Banach algebras we characterize spectral systems which satisfy the one-way spectral mapping property. We show that these spectral systems are determined by projective systems of multiplicative linear functionals of finitely generated subalgebras and, using this, we derive several consequences concerning multiplicative extensions of multiplicative linear functionals of subalgebras.