Characterization of Precompact Maps, Schwartz Spaces and Nuclear Spaces

DOI10.2307/1995876zbMath0209.14405OpenAlexW4238995324MaRDI QIDQ5609640

Daniel J. Randtke

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1995876

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (12)

Topologies and bornologies determined by operator ideals ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ A Factorization Theorem for Compact Operators ⋮ Representation Theorems for Compact Operators ⋮ Factoring operators through \(c_0\) ⋮ Über spezielle Klassen von Schwartz-Räumen ⋮ Banach ideals of p-compact operators ⋮ \(\lambda\)-assoziierte Topologien ⋮ Zur Theorie der Schwartz-Räume ⋮ A structure theorem for Schwartz spaces ⋮ Some remarks on compact maps in Banach spaces ⋮ Is the free locally convex space \(L(X)\) nuclear?

Cites Work

• Über die Einbettung der nuklearen Räume in \((s)^ A\)
• Einführung in die Theorie der lokalkonvexen Räume
• Automorphisms in \(c_0\), \(\ell_1\) and \(m\)
• Extension of compact operators
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Produits tensoriels topologiques et espaces nucléaires
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