The space of vector‐valued integrable functions under certain locally convex topologies

DOI10.1002/MANA.201200013zbMath1270.46031OpenAlexW2060061766MaRDI QIDQ4911531

Saeid Maghsoudi

Publication date: 15 March 2013

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

Full work available at URL: https://doi.org/10.1002/mana.201200013

zbMATH Keywords

locally compact groupstrict topologysemi-topological algebrageneralized group algebraspaces of vector-valued integrable functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) General theory of locally convex spaces (46A03) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (5)

HYPERGROUP ALGEBRAS AS TOPOLOGICAL ALGEBRAS ⋮ Certain strict topologies on the space of regular Borel measures on locally compact groups ⋮ Discrete measures and strict topologies ⋮ A CONVOLUTION-INDUCED TOPOLOGY ON THE ORLICZ SPACE OF A LOCALLY COMPACT GROUP ⋮ A strict topology on Orlicz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^\infty_0(G)^*\) as the second dual of the group algebra \(L^1(G)\) with a locally convex topology
• Topological modules of continuous homomorphisms
• Induced Banach representations of Banach algebras and locally compact groups
• The strict topology on bounded sets
• STRICT TOPOLOGY AS A MIXED TOPOLOGY ON LEBESGUE SPACES
• THE STRICT TOPOLOGY ON THE DISCRETE LEBESGUE SPACES
• A Note on Polar Topologies
• Factorization in Banach Algebras and the General Strict Topology
• Duality theory for the strict topology

This page was built for publication: The space of vector‐valued integrable functions under certain locally convex topologies