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C-bases en espacios localmente convexos.

Celestino Montes Contreras (1989)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Cesàro wedge and weak Cesàro wedge $F K$ -spaces

H. G. Ince (2002)

Czechoslovak Mathematical Journal

In this paper we deal with Cesàro wedge and weak Cesàro wedge $F K$ -spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.

Combinations of Distinguished Subsets and Conullity.

Robert DeVos (1986)

Mathematische Zeitschrift

Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis

Jörg Krone, Volker Walldorf (1998)

Studia Mathematica

The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.

Concrete subspaces of nuclear Fréchet spaces

Ed Dubinsky (1975)

Studia Mathematica

Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group

Do Duc Thai, Dinh Huy Hoang (1999)

Annales Polonici Mathematici

We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection $π_{1} : V \to Γ$ is finite and proper, then $R_{V} : O (Γ \times G) \to I m R_{V} \subset O (V)$ has a right inverse