A note on continuous restrictions of linear maps between Banach spaces.

The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.

A note on Banach spaces without the approximation property

Gerald W. Johnson, Loren V. Petersen (1977)

Commentationes Mathematicae Universitatis Carolinae

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Complemented and uncomplemented subspaces of Banach spaces.

Anatolij M. Plichko, David Yost (2000)

Extracta Mathematicae

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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.

Operators into $L_{p}$ which factor through $l_{p}$

W. B. Johnson (1979-1980)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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