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Separable Space

Description

A topological space X = (X, τ) that contains a countable subset which is τ-dense.

Relationship graph

Relationship graph

Examples

A^1(D, dλ^2) | A^2(D, dλ^2) | ℬ(D, dλ^2) | a^1(D, dλ^2) | a^2(D, dλ^2) | ℬ^h(D, dλ^2) | h^2 | ℬ_0^h(D, dλ^2) | H^2 | L^0(D, dλ^2) | L^2(D, dλ^2) | ℬ_0(D, dλ^2) | c_0(Z^+, dη) | ℓ^0(Z^+, dη) | ℓ^2(Z^+, dη)

References

Gustave Choquet. Lectures on Analysis. Vol. I: Integration and Topological Vector Spaces. p. 15, 1969. Taqdir Husain. The Open Mapping and Closed Graph Theorems in Topological Vector Spaces. p. 2, 1965. Gottfried Köthe. Topological Vector Spaces. I. p. 26, 1969. Lawrence Narici and Edward Beckenstein. Topological Vector Spaces, 2nd ed. pp. 6 and 271, 2011. Alexander Provan Robertson and Wendy Robertson. Topological Vector Spaces. p. 7, 1964. Walter Rudin. Functional Analysis, 2nd ed. 1991. Helmut H. Schaefer and Manfred P.H. Wolff. Topological Vector Spaces, 2nd ed. p. 4, 1999. François Trèves. Topological Vector Spaces, Distributions and Kernels. pp. 111, 125, and 550, 1967. Albert Wilansky. Modern Methods in Topological Vector Spaces. pp. 25 and 143, 1978. Yau-Chuen Wong. Introductory Theory of Topological Vector Spaces. p. 20, 1992.

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