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Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum.
S. Seán, and Robin E. Harte. "Banach-valued axiomatic spectra." Studia Mathematica 175.3 (2006): 213-232. <http://eudml.org/doc/285141>.
@article{S2006, abstract = {Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum.}, author = {S. Seán, Robin E. Harte}, journal = {Studia Mathematica}, keywords = {functional calculus; Taylor-Waelbroeck spectrum; spectral system; polynomial extension}, language = {eng}, number = {3}, pages = {213-232}, title = {Banach-valued axiomatic spectra}, url = {http://eudml.org/doc/285141}, volume = {175}, year = {2006}, }
TY - JOUR AU - S. Seán AU - Robin E. Harte TI - Banach-valued axiomatic spectra JO - Studia Mathematica PY - 2006 VL - 175 IS - 3 SP - 213 EP - 232 AB - Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum. LA - eng KW - functional calculus; Taylor-Waelbroeck spectrum; spectral system; polynomial extension UR - http://eudml.org/doc/285141 ER -