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- Polynomially_reflexive_space abstract "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 (that is, Mn is n-linear), we can define a polynomial p as (that is, applying Mn on the diagonal) 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 implies that reflexivity is a prerequisite for polynomial reflexivity.".
- Polynomially_reflexive_space wikiPageID "629068".
- Polynomially_reflexive_space wikiPageRevisionID "552449083".
- Polynomially_reflexive_space hasPhotoCollection Polynomially_reflexive_space.
- Polynomially_reflexive_space subject Category:Banach_spaces.
- Polynomially_reflexive_space type Abstraction100002137.
- Polynomially_reflexive_space type Attribute100024264.
- Polynomially_reflexive_space type BanachSpaces.
- Polynomially_reflexive_space type Space100028651.
- Polynomially_reflexive_space comment "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 (that is, Mn is n-linear), we can define a polynomial p as (that is, applying Mn on the diagonal) or any finite sum of these.".
- Polynomially_reflexive_space label "Polynomially reflexive space".
- Polynomially_reflexive_space sameAs m.02ydb8.
- Polynomially_reflexive_space sameAs Q7226648.
- Polynomially_reflexive_space sameAs Q7226648.
- Polynomially_reflexive_space sameAs Polynomially_reflexive_space.
- Polynomially_reflexive_space wasDerivedFrom Polynomially_reflexive_space?oldid=552449083.
- Polynomially_reflexive_space isPrimaryTopicOf Polynomially_reflexive_space.