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COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES

Name: COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
Creator: V V Zharinov
Keywords: compact families, dual Frechet-Schwartz spaces, Topological linear spaces of test functions, distributions and ultradistributions, Fourier ultra-hyperfunctions, Spaces defined by inductive or projective limits (LB, LF, etc.), inductive spectra, 01 natural sciences, Inductive and projective limits in functional analysis, Fourier hyperfunctions, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)

Compact families of locally convex topological vector spaces, Frechet- Schwartz and dual Frechet-Schwartz spaces

descriptionPublicationkeyboard_double_arrow_right Article 31 Aug 1979Publisher:Steklov Mathematical InstituteJournal:Russian Mathematical Surveys, volume 34, pages 105-143 (issn: 0036-0279, eissn: 1468-4829,

Authors: V V Zharinov;

doi: 10.1070/rm1979v034n04abeh002963

COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES

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Abstract

ContentsIntroduction § 1. Projective spectra of LCS § 2. Inductive spectra of LCS § 3. Families of LCS subspaces § 4. Duality in families of LCS subspaces § 5. Examples § 6. Real analytic functionals § 7. Fourier hyperfunctions § 8. Fourier ultra-hyperfunctionsReferences

Keywords

compact families, dual Frechet-Schwartz spaces, Topological linear spaces of test functions, distributions and ultradistributions, Fourier ultra-hyperfunctions, Spaces defined by inductive or projective limits (LB, LF, etc.), inductive spectra, Inductive and projective limits in functional analysis, Fourier hyperfunctions, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), real analytic functionals, duality

1 Research products, page 1 of 1

Characterizing Fréchet–Schwartz spaces via power bounded operators
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