Isomorphism between Spaces of Multilinear Maps and Nested Compositions over Real Normed Vector Spaces
نویسندگان
چکیده
Summary This paper formalizes in Mizar [1], [2], that the isometric isomorphisms between spaces formed by an ( n + 1)-dimensional multilinear map and -fold composition of linear maps on real normed spaces. result is used to describe space nth-order derivatives Frechet derivative as a space. In Section 1, we discuss 1-dimensional 0-fold compositions preparation, 2, extend discussion compositions. We referred [4], [11], [8], [9] this formalization.
منابع مشابه
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2022
ISSN: ['1898-9934', '1426-2630']
DOI: https://doi.org/10.2478/forma-2022-0006