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Displaying similar documents to “Polar lattices from the point of view of nuclear spaces.”

Summable families in nuclear groups

Wojciech Banaszczyk (1993)

Studia Mathematica

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Nuclear groups form a class of abelian topological groups which contains LCA groups and nuclear locally convex spaces, and is closed with respect to certain natural operations. In nuclear locally convex spaces, weakly summable families are strongly summable, and strongly summable are absolutely summable. It is shown that these theorems can be generalized in a natural way to nuclear groups.

Solitary quotients of finite groups

Marius Tărnăuceanu (2012)

Open Mathematics

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We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.