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Conditions for certain forms of completeness in the class of projective limits of sequences of inductive limits of sequences of Frechet spaces

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Publication:1243868
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DOI10.1007/BF01135549zbMath0369.46013MaRDI QIDQ1243868

K. Appert

Publication date: 1977

Published in: Functional Analysis and its Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Topological linear spaces of test functions, distributions and ultradistributions (46F05)


Related Items (4)

Some asymptotic formulas for elliptic pseudodifferential operators ⋮ Spectral asymptotics of normal operators ⋮ Spectral asymptotics of polynomial pencils of differential operators on a compact manifold without boundary ⋮ Angular asymptotics of the spectra of operators, close to normal ones



Cites Work

  • On the space \(1^ \infty (S)\), with the strict topology
  • A note on \(B\)- and \(B_ r\)-completeness
  • Unnamed Item


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