CrossRef Open Access 1997 1 sitasi

Generic Gateaux differentiability via smooth perturbations

Pando Gr Georgiev Nadia P. Zlateva

Abstrak

We prove that in a Banach space with a Lipschitz uniformly Gateaux smooth bump function, every continuous function which is directionally differentiable on a dense Gδ subset of the space, is Gateaux differentiable on a dense Gδ subset of the space. Applications of this result are given.

Penulis (2)

Pando Gr Georgiev

Nadia P. Zlateva

Format Sitasi

APA MLA BibTeX

Georgiev, P.G., Zlateva, N.P. (1997). Generic Gateaux differentiability via smooth perturbations. https://doi.org/10.1017/s0004972700031208

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Informasi Jurnal

Tahun Terbit: 1997
Bahasa: en
Total Sitasi: 1×
Sumber Database: CrossRef
DOI: 10.1017/s0004972700031208
Akses: Open Access ✓