Dual characterization of absolutely representing systems in inductive limits of Banach spaces

DOI10.1007/s11202-010-0075-7zbMath1220.46016OpenAlexW2054563573MaRDI QIDQ630300

V. B. Sherstyukov

Publication date: 17 March 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0075-7

zbMATH Keywords

partial fractions(LB)-spacesabsolutely representing systemsspaces of germs of holomorphic functions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Summability and bases in topological vector spaces (46A35)

Related Items (1)

Asymptotic properties of entire functions with given laws of distribution of zeros

Cites Work

• Expansion of analytic functions in series of rational functions
• Absolutely convergent series in the canonical inductive limits
• Series of rational fractions with rapidly decreasing coefficients
• On Absolutely Convergent Exponential Sums
• ON ABSOLUTE COMPLETENESS OF SYSTEMS OF EXPONENTIALS ON A CLOSED INTERVAL
• Representing systems
• ON A DUAL PROBLEM. I. GENERAL RESULTS. APPLICATIONS TO FRÈCHET SPACES
• Absolute completeness of systems of exponentials on convex compact sets
• Dualität in der Funktionentheorie.
• To the question on \(\gamma\)-sufficient sets
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