An example is given of a semisimple commutative Banach algebra that has the strong spectral extension property but fails the multiplicative Hahn-Banach property. This answers a question posed by M. J. Meyer in [4].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-3-6,
author = {A. So\l tysiak},
title = {The strong spectral extension property does not imply the multiplicative Hahn-Banach property},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {297-301},
zbl = {1018.46027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-3-6}
}
A. Sołtysiak. The strong spectral extension property does not imply the multiplicative Hahn-Banach property. Studia Mathematica, Tome 151 (2002) pp. 297-301. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-3-6/