STRICT TOPOLOGY AS A MIXED TOPOLOGY ON LEBESGUE SPACES

DOI10.1017/S0004972711002589zbMath1248.46010MaRDI QIDQ3110933

Saeid Maghsoudi, Rasoul Nasr-Isfahani

Publication date: 17 January 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lebesgue spacegroup algebralocally compact groupdual spaceRadon measuremixed topologystrict topologylocally convex topology

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General theory of topological algebras (46H05) 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 (4)

HYPERGROUP ALGEBRAS AS TOPOLOGICAL ALGEBRAS ⋮ The space of vector‐valued integrable functions under certain locally convex topologies ⋮ Strict topology on locally compact groups ⋮ Discrete measures and strict topologies

Cites Work

• Mackey topologies and mixed topologies in Riesz spaces
• The dual of semigroup algebras with certain locally convex topologies
• \(L^\infty_0(G)^*\) as the second dual of the group algebra \(L^1(G)\) with a locally convex topology
• Strong Arens irregularity of Beurling algebras with a locally convex topology
• A Note on Polar Topologies
• Produits tensoriels topologiques et espaces nucléaires
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