On Gateaux differentiable bump functions

• Autorzy: Francisco L. Hernández , Stanimir L. Troyanski
• Języki publikacji: EN

Abstrakty

EN

It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces with unconditional basis is not better than that of Fréchet differentiability. It is proved as well that in the separable case this order for Banach lattices satisfying a lower p-estimate for 1≤ p < 2 can be only slightly better.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 118
• Numer: 2
• Strony: 135-143

Daty

wydano

1996

otrzymano

1994-07-04

poprawiono

1995-05-15

poprawiono

1995-09-04

Twórcy

autor

Francisco L. Hernández

• Dpto. Analisis Matemático, Facultad Matematicas, Universidad Complutense, 28040 Madrid, Spain

autor

Stanimir L. Troyanski

• Faculty of Mathematics and Informatics, Sofia University, 5, James Bourchier blvd, 1126 Sofia, Bulgaria
• Departament d'Anàlisi Matemàtica, Universitat de València, Dr. Moliner, 50, 46100 Burjassot (València), Spain

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