The Hilbert tensor product and inductive limits

DOI10.1007/s13398-015-0229-3zbMath1344.46002OpenAlexW371867239MaRDI QIDQ259761

Bernhard Dierolf

Publication date: 18 March 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0229-3

zbMATH Keywords

inductive limitHilbert tensor product

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Spaces of linear operators; topological tensor products; approximation properties (46A32) Inductive and projective limits in functional analysis (46M40) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Théorie des distributions à valeurs vectorielles
• Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences
• On a property of PLS-spaces inherited by their tensor products
• Real analytic parameter dependence of solutions of differential equations
• Tensor products of Fréchet or (DF)-spaces with a Banach space
• \(\sigma\)-lokaltopologische Räume und projektive Tensorprodukte
• Complete projective tensor product of (LB)-spaces
• Derived functors in functional analysis
• Real analytic parameter dependence of solutions of differential equations over Roumieu classes
• The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations
• Inductive limits and ε-tensor products.
• Bounded sets in projective tensor products of hilbertizable locally convex spaces
• Parameter dependence of solutions of partial differential equations in spaces of real analytic functions
• Charakterisierung lokalkonvexer Räume mit Hilfe von Tensornormtopologien
• Homological methods in the theory of locally convex spaces
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: The Hilbert tensor product and inductive limits