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Displaying similar documents to “Snarked sums of Banach spaces.”

Report on twisted sums of Banach spaces.

Félix Cabello, Jesús M. Fernández Castillo (1996)

Extracta Mathematicae

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This note is to report some of the advances obtained as a follow-up of the book [2] on the topic of twisted sums of Banach spaces. Since this announcement is no longer enough to contain the theory being developed, we submit the interested reader to [2] and to [1], where full details and proofs shall appear.

Sobczyk's theorems from A to B.

Félix Cabello Sánchez, Jesús M. Fernández Castillo, David Yost (2000)

Extracta Mathematicae

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Sobczyk's theorem is usually stated as: . Nevertheless, our understanding is not complete until we also recall: . Now the limits of the phenomenon are set: although c is complemented in separable superspaces, it is not necessarily complemented in a non-separable superspace, such as l.

Complemented subspaces of sums and products of copies of L[0, 1].

A. A. Albanese, V. B. Moscatelli (1996)

Revista Matemática de la Universidad Complutense de Madrid

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We prove that the direct sum and the product of countably many copies of L[0, 1] are primary locally convex spaces. We also give some related results.