Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: increasing vector functions

Sortuj według:

Ogranicz wyniki do:

On Some Properties of Separately Increasing Functions from [0,1n into a Banach Space

Michalak A.

Bulletin of the Polish Academy of Sciences. Mathematics

2014

Vol. 62, no 1

61--76

We say that a function f from [0,1] to a Banach space X is increasing with respect to E⊂X* if x∗∘f is increasing for every x*∈E. A function f:[0,1]m→X is separately increasing if it is increasing in each variable separately. We show that if X is a Banach space that does not contain any isomorphic copy of c0 or such that X* is separable, then for every separately increasing function f:[0,1]m→X with respect to any norming subset there exists a separately increasing function g:[0,1]m→R such that the sets of points of discontinuity of f and g coincide.