Polynomially reflexive space
id:
polynomially-reflexive-space-200-1865515
title:
Polynomially reflexive space
text:
In mathematics, a polynomially reflexive space is a Banach space X, on which the space of all polynomials in each degree is a reflexive space. Given a multilinear functional Mn of degree n, we can define a polynomial p as or any finite sum of these. If only n-linear functionals are in the sum, the polynomial is said to be n-homogeneous. We define the space Pn as consisting of all n-homogeneous polynomials. The P1 is identical to the dual space, and is thus reflexive for all reflexive X. This imp
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wiki
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encyclopedia
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https://en.wikipedia.org/wiki/Polynomially_reflexive_space
date created:
date modified:
2021-07-31T13:49:13Z
main entity:
{"identifier":"Q7226648","url":"https://www.wikidata.org/entity/Q7226648"}
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