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Subjects
46-XX Functional analysis
46Axx Topological linear spaces and related structures
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)

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Displaying 21 – 33 of 33

On the derived tensor product functors for (DF)- and Fréchet spaces

Oğuz Varol (2007)

Studia Mathematica

For a (DF)-space E and a tensor norm α we investigate the derivatives $T o r_{α}^{l} (E, \cdot)$ of the tensor product functor $E \otimes ̃_{α} \cdot : \to$ from the category of Fréchet spaces to the category of linear spaces. Necessary and sufficient conditions for the vanishing of $T o r ¹_{α} (E, F)$ , which is strongly related to the exactness of tensored sequences, are presented and characterizations in the nuclear and (co-)echelon cases are given.

On the existence of unitary representations of commutative nuclear Lie groups

Wojciech Banaszczyk (1983)

Studia Mathematica

On the extension of holomorphic functions on a locally convex space

Nguyen Van Khue (1983)

Annales Polonici Mathematici

On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces

Nguyen Van Khue (1984)

Annales Polonici Mathematici

On the extension of Lipschitz maps with values in a Fréchet space

Nguyen Van Khue (1985)

Colloquium Mathematicae

On the functors Ext¹(E,F) for Fréchet spaces

Dietmar Vogt (1987)

Studia Mathematica

On the Glicksberg theorem for locally quasi-convex Schwartz groups

Lydia Außenhofer (2008)

Fundamenta Mathematicae

We prove that every locally quasi-convex Schwartz group satisfies the Glicksberg theorem for weakly compact sets.

On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces

Andreas Benndorf (1983)

Studia Mathematica

On the splitting of twisted sums, and the three space problem for local convexity

Paweł Domański (1985)

Studia Mathematica

On the subspaces of Fréchet Montel spaces and of the strong duals of Fréchet Montel spaces.

W. Roelke (1971)

Collectanea Mathematica

On the three-space property for locally convex spaces.

Giorgio Metafune, Vincenzo B. Moscatelli (1986)

Collectanea Mathematica

On the three-space-problem for topological vector spaces.

W. Roelcke, S. Dierolf (1981)

Collectanea Mathematica

On Weighted Inductive Limits of Spaces of Continuous Function.

José Bonet (1986)

Mathematische Zeitschrift

Currently displaying 21 – 33 of 33

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