In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-13, author = {Anar Dosiev}, title = {Spectral mapping framework}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {161-169}, zbl = {1085.47008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-13} }
Anar Dosiev. Spectral mapping framework. Banach Center Publications, Tome 68 (2005) pp. 161-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-13/