Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs

DOI10.7169/FACM/1308749127zbMath1226.46002OpenAlexW2043045821MaRDI QIDQ548508

Angela A. Albanese, Elisabetta M. Mangino

Publication date: 29 June 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1308749127

zbMATH Keywords

tensor productsSchur propertyDunford-Pettis propertyGrothendieck spaceslocally convex spaces, Fréchet spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Duality theory for topological vector spaces (46A20)

Related Items (3)

Dunford-Pettis type properties and the Grothendieck property for function spaces ⋮ Uniform mean ergodicity of \(C_0\)-semigroups in a class of Fréchet spaces ⋮ Grothendieck spaces: the landscape and perspectives

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