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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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

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

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

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

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

For 1 < p < ∞ , {\displaystyle 1<p<\infty ,} the space L p ( μ ) {\displaystyle L^{p}(\mu )} is reflexive. Let κ p {\displaystyle \kappa _{p}} be as above...

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...

comparable. Formally, a partial order is a homogeneous binary relation that is reflexive, antisymmetric, and transitive. A partially ordered set (poset for short)...

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

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...

the corresponding notion of reflexivity is the standard one: the spaces reflexive in this sense are just called reflexive. If V ′ {\displaystyle V'} is...

Tsirelson space is the first example of a Banach space in which neither an ℓ p space nor a c0 space can be embedded. The Tsirelson space is reflexive. It was...