| dc.description.abstract | This thesis discusses E. B. Christoffel's famous article from 1869 (an English
translation is also included), generalises it to the more general setting of locally
convex Hausdorff topological vector spaces over R or C, and furthermore estab-
lishes a partial converse to the results of Christoffel in Banach spaces. Apart
from this we rigorously discuss the aforementioned more general setting by in-
troducing the concepts related to this setting from the ground up. This includes
in particular a non-standard notion for the derivative and proofs of many useful
statements, among which the open mapping theorem, closed graph theorem,
fundamental theorem of integration, and the Taylor approximation theorem. | |
