and the normed space is a Banach space. Those spaces for which the canonical evaluation map is surjective are called semi-reflexive spaces. In 1951, R....

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

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

space – Locally convex topological vector space Semi-reflexive space Strong topology Topologies on spaces of linear maps Schaefer & Wolff 1999, p. 141...

{\displaystyle X} is a semi-reflexive space whose strong dual is nuclear and if N {\displaystyle N} is nuclear then the vector space of continuous linear...

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

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

of quasi-complete spaces is again quasi-complete. Every semi-reflexive space is quasi-complete. The quotient of a quasi-complete space by a closed vector...

of the double dual V ″ . {\displaystyle V''.} The space V {\displaystyle V} is a semi-reflexive space if and only if this map is surjective. The f : X...

Schwartz space is a Montel space. Montel spaces are paracompact and normal. Semi-Montel spaces are quasi-complete and semi-reflexive while Montel spaces are...

lattice). If a locally convex vector lattice X {\displaystyle X} is semi-reflexive then it is order complete and X b {\displaystyle X_{b}} (that is, (...

subgroup of the additive group of K. A (σ, ε)-Hermitian form is reflexive, and every reflexive σ-sesquilinear form is (σ, ε)-Hermitian for some ε. In the special...

completion of it coincides with the usual completion of the space. Isbell completion (also called reflexive completion), introduced by Isbell in 1960, is in short...

\ldots } A zero-or-more-steps rewriting like this is captured by the reflexive transitive closure of → R {\displaystyle {\xrightarrow[{R}]{}}} , denoted...

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...

relation " p {\displaystyle p} is equivalent to q {\displaystyle q} " is reflexive, symmetric ( c q ≤ p ≤ C q {\displaystyle cq\leq p\leq Cq} implies 1 C...

often be applied with success when the space V {\displaystyle V} is a subset of a separable reflexive Banach space W {\displaystyle W} . In this case the...

connected subset of X containing both x and y. Evidently both relations are reflexive and symmetric. Moreover, if x and y are contained in a connected (respectively...

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

to be dense are: R is reflexive; R is coreflexive; R is quasireflexive; R is left or right Euclidean; or R is symmetric and semi-connex and X has at least...

barrelled space. Every barrelled space is countably barrelled. However, there exist semi-reflexive countably barrelled spaces that are not barrelled. The strong...

ordered vector space or partially ordered vector space is a vector space equipped with a partial order that is compatible with the vector space operations...

Chmeee) is a junior diplomat, trained to deal with other species without reflexively killing them. He is recruited by Nessus, a Pierson's Puppeteer, as a...

Connected Well-founded Has joins Has meets Reflexive Irreflexive Asymmetric Total, Semiconnex Anti- reflexive Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder...

in this way meets the three requirements of a partial order that it be reflexive, antisymmetric, and transitive. Conversely, suppose that ( X , ≤ ) {\displaystyle...

DF-space is a Fréchet space. The strong dual of a reflexive Fréchet space is a bornological space. The strong bidual (that is, the strong dual space of...

map, ultrafilters) are used to obtain the set of points of a topological space, whose clopen sets are isomorphic to the original Boolean algebra. Order...

define a non-strict partial order B ⪰ A {\displaystyle B\succeq A} that is reflexive, antisymmetric, and transitive; It is not a total order, however, as B...

vector space, also called an ordered TVS, is a topological vector space (TVS) X that has a partial order ≤ making it into an ordered vector space whose...

The strong dual of every reflexive Fréchet space is bornological. If the strong dual of a metrizable locally convex space is separable, then it is bornological...