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searching for Continuous linear extension 7 found (15 total)

alternate case: continuous linear extension

Hahn–Banach theorem (12,649 words) [view diff] exact match in snippet view article find links to article

locally convex topological vector space X {\displaystyle X} has a continuous linear extension F {\displaystyle F} to all of X . {\displaystyle X.} If in addition

Paley–Wiener integral (603 words) [view diff] exact match in snippet view article find links to article

values on any dense subspace of its domain, there is a unique continuous linear extension I : H → L 2 ( E , γ ; R ) {\displaystyle I:H\to L^{2}(E,\gamma

Densely defined operator (703 words) [view diff] exact match in snippet view article find links to article

} Since the above inclusion is continuous, there is a unique continuous linear extension I : H → L 2 ( E , γ ; R ) {\displaystyle I:H\to L^{2}(E,\gamma

Topological homomorphism (1,458 words) [view diff] exact match in snippet view article find links to article

topological homomorphism, then f {\displaystyle f} 's unique continuous linear extension F : C → D {\displaystyle F:C\to D} is a topological homomorphism

Transpose of a linear map (2,714 words) [view diff] exact match in snippet view article find links to article

if x ′ ∈ X ′ {\displaystyle x^{\prime }\in X^{\prime }} is a continuous linear extension of m ′ {\displaystyle m^{\prime }} to X {\displaystyle X} then

Riesz transform (970 words) [view diff] exact match in snippet view article find links to article

dense subspace of L2 implies that each Riesz transform admits a continuous linear extension to all of L2. Gilbarg, D.; Trudinger, Neil (1983), Elliptic Partial

Complete topological vector space (15,850 words) [view diff] exact match in snippet view article find links to article

into a complete Hausdorff TVS Z {\displaystyle Z} has a unique continuous linear extension to a map C → Z . {\displaystyle C\to Z.} Existence of Hausdorff