Characterization of splitting for Fréchet--Hilbert spaces via interpolation

DOI10.1007/s00208-007-0115-1zbMath1132.46043OpenAlexW2063657925MaRDI QIDQ2458840

Paweł Domański, Mieczyslaw Mastylo

Publication date: 5 November 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-007-0115-1

zbMATH Keywords

interpolationsplitting of short exact sequencesFréchet Hilbert spaces

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Interpolation between normed linear spaces (46B70) Locally convex Fréchet spaces and (DF)-spaces (46A04) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (7)

Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ A homological approach to the splitting theory of \(\mathrm{PLS}_{\mathrm{w}}\) spaces ⋮ Hamel's formalism for infinite-dimensional mechanical systems ⋮ The coherence of complemented ideals in the space of real analytic functions ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ On the splitting relation for Fréchet-Hilbert spaces ⋮ ON THE STABILITY OF THE DIFFERENTIAL PROCESS GENERATED BY COMPLEX INTERPOLATION

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