Banach manifold structure and infinite-dimensional analysis for causal fermion systems

URN to cite this document:: urn:nbn:de:bvb:355-epub-459346
DOI to cite this document:: 10.5283/epub.45934

Finster, Felix

; Lottner, Magdalena

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Date of publication of this fulltext: 08 Jun 2021 05:16

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Abstract

A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold endowed with a canonical Fréchet-smooth Riemannian metric. The so-called expedient differential calculus is introduced with the purpose of treating derivatives of functions on Banach spaces which are ...