mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation map from X...

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...

mathematics known as functional analysis, a semi-reflexive space is a locally convex topological vector space (TVS) X such that the canonical evaluation map...

operator in A. This should not be confused with a reflexive space. Nest algebras are examples of reflexive operator algebras. In finite dimensions, these...

X j {\displaystyle X_{j}} is reflexive. Hilbert spaces are reflexive. The L p {\displaystyle L^{p}} spaces are reflexive when 1 < p < ∞ . {\displaystyle...

up reflexive in Wiktionary, the free dictionary. Reflexive, or the property reflexivity, may refer to: Metafiction Reflexivity (grammar): Reflexive pronoun...

consequence ℓq is a reflexive space. By abuse of notation, it is typical to identify ℓq with the dual of ℓp: (ℓp)* = ℓq. Then reflexivity is understood by...

reflexivity we have to distinguish left and right orthogonality. In a reflexive space the left and right radicals agree and are termed the kernel or the...

A be a linear operator defined on a linear subspace D(A) of the reflexive Banach space X. Then A generates a contraction semigroup if and only if A is...

Banach space Hahn–Banach theorem Dual space Predual Weak topology Reflexive space Polynomially reflexive space Baire category theorem Open mapping theorem...

Quasi-reflexive may refer to: Quasi-reflexive relation Quasi-reflexive space This disambiguation page lists articles associated with the title Quasi-reflexive...

topological spaces Polar topology – Dual space topology of uniform convergence on some sub-collection of bounded subsets Reflexive space – Locally convex...

way to deal with the fact that the Sobolev space W1,1 is not a reflexive space; since W1,1 is not reflexive, it is not always true that a bounded sequence...

space – Type of topological vector space Reflexive space – Locally convex topological vector space Semi-reflexive space Schaefer & Wolff 1999, p. 142. Jarchow...

Reflexive control is control someone has over their opponent's decisions by imposing on them assumptions that change the way they act. Methods of reflexive...

normed space X is uniformly smooth if and only if ρX(t ) / t tends to 0 as t tends to 0. Every uniformly smooth Banach space is reflexive. A Banach space X...

theorem. As a corollary, every Hilbert space is a reflexive Banach space. The dual normed space of an Lp-space is Lq where 1/p + 1/q = 1 provided that...

In mathematics, uniformly convex spaces (or uniformly rotund spaces) are common examples of reflexive Banach spaces. The concept of uniform convexity was...

the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive. The theorem was proved independently by D. Milman (1938) and B. J...

isometrically isomorphic to its double dual, while not being reflexive. Furthermore, James' space has a basis, while having no unconditional basis. Let P {\displaystyle...

spaces and reflexive spaces All metrizable spaces. In particular, all Fréchet spaces, including all Banach spaces and specifically Hilbert spaces, are Mackey...

that a Hilbert space H is reflexive, meaning that the natural map from H into its double dual space is an isomorphism. In a Hilbert space H, a sequence...

false if one replaces the space C c ∞ {\displaystyle C_{c}^{\infty }} with L 2 {\displaystyle L^{2}} (which is a reflexive space that is even isomorphic...

strongly continuous one-parameter semigroup of contractive operators on a reflexive space. Remark: Some intuition for the mean ergodic theorem can be developed...

V^{**}} (which is not identical to V {\displaystyle V} ). However, the reflexive spaces have a natural isomorphism i {\displaystyle i} between V {\displaystyle...

knowledge, reflexivity refers to circular relationships between cause and effect, especially as embedded in human belief structures. A reflexive relationship...

linear operator between two Banach spaces is weakly compact if and only if it factors through a reflexive space. The space ℓ q used for the discrete definition...

In algebraic geometry, a reflexive sheaf is a coherent sheaf that is isomorphic to its second dual (as a sheaf of modules) via the canonical map. The...

bornological space. All normed spaces and semi-reflexive spaces are distinguished spaces. LF spaces are distinguished spaces. The strong dual space X b ′ {\displaystyle...

I . {\displaystyle i\in I.} If X {\displaystyle X} happens to be a reflexive space then to solve the vector problem, it suffices to solve the following...