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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].
A. Sołtysiak. "The strong spectral extension property does not imply the multiplicative Hahn-Banach property." Studia Mathematica 153.3 (2002): 297-301. <http://eudml.org/doc/285055>.
@article{A2002, abstract = {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].}, author = {A. Sołtysiak}, journal = {Studia Mathematica}, keywords = {strong spectral extension property; multiplicative Hahn-Banach property}, language = {eng}, number = {3}, pages = {297-301}, title = {The strong spectral extension property does not imply the multiplicative Hahn-Banach property}, url = {http://eudml.org/doc/285055}, volume = {153}, year = {2002}, }
TY - JOUR AU - A. Sołtysiak TI - The strong spectral extension property does not imply the multiplicative Hahn-Banach property JO - Studia Mathematica PY - 2002 VL - 153 IS - 3 SP - 297 EP - 301 AB - 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]. LA - eng KW - strong spectral extension property; multiplicative Hahn-Banach property UR - http://eudml.org/doc/285055 ER -