On the locally convex structure of strict topologies

DOI10.1007/BF01179791zbMath0361.46002MaRDI QIDQ1239451

Wolfgang M. Ruess

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/172491

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) General theory of locally convex spaces (46A03) Barrelled spaces, bornological spaces (46A08) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items

THE STRICT TOPOLOGY ON THE DISCRETE LEBESGUE SPACES ⋮ Topological modules of continuous homomorphisms ⋮ Some classes of locally convex spaces ⋮ Compactness and collective compactness in spaces of compact operators ⋮ Certain locally convex topologies on the discrete vector-valued Lebesgue spaces ⋮ Appropriate Locally Convex Domains for Differential Calculus ⋮ Quasimultipliers on \(F\)-algebras ⋮ The strict topology in certain weighted spaces of functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounded continuous functions on a locally compact space
• Every DF-space is quasinormable
• Generalized inductive limit topologies and barrelledness properties
• Strict, weighted, and mixed topologies and applications
• Duals of Frechet spaces and a generalization of the Banach-Dieudonne theorem
• The space of bounded analytic functions on a region
• Remarks on certain function spaces
• On the space \(1^ \infty (S)\), with the strict topology
• Compact and weakly compact operators on \(C(S)_\beta\)
• Compactness and convergence in the space of measures
• Induced Banach representations of Banach algebras and locally compact groups
• The bounded weak-star topology and the bounded analytic functions
• The strict topology on bounded sets
• On the finest locally convex topology agreeing with a given topology on a sequence of absolutely convex sets
• The bounded weak star topology and the general strict topology
• The Double Centralizer Algebra as a Linear Space
• Closed graph theorems for generalized inductive limit topologies
• A counterexample to several questions about Banach spaces
• The strict topology and compactness in the space of measures
• Subspaces of 𝐶(𝑆)ᵦ, the space (𝑙^{∞},𝛽), and (𝐻^{∞},𝛽)
• A Generalized Form of Inductive-Limit Topology for Vector Spaces
• Double Centralizers and Extensions of C ∗ -Algebras
• The Strict Topology and Compactness in the space of Measures. II
• Factorization in Banach Algebras and the General Strict Topology
• The Strict Topology for Double Centralizer Algebras
• Weak Topologies on Subspaces of C(S)
• Bounded Measures on Topological Spaces
• Bounded Continuous Functions on a Completely Regular Space
• Noncoincidence of the Strict and Strong Operator Topologies
• Produits tensoriels topologiques et espaces nucléaires
• Operator Algebras and Dual Spaces