𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Selection principle for pointwise bounded sequences of functions

✍ Scribed by Yu. V. Tret’yachenko; V. V. Chistyakov

Book ID
110149396
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
622 KB
Volume
84
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Pointwise Blow-up of Sequences Bounded i
Pointwise Blow-up of Sequences Bounded in L1
✍ Milton C. Lopes Filho; Helena J. Nussenzveig Lopes 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 86 KB

Given a sequence of functions bounded in L 1 0 1 , is it possible to extract a subsequence that is pointwise bounded almost everywhere? The main objective of this note is to present an example showing that this is not possible in general. We will also prove a pair of positive results. We show that i

A Selection Principle for Mappings of Bo
A Selection Principle for Mappings of Bounded Variation
✍ S.A. Belov; V.V. Chistyakov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 141 KB

E. Helly's selection principle states that an infinite bounded family of real functions on the closed inter¨al, which is bounded in ¨ariation, contains a pointwise con¨ergent sequence whose limit is a function of bounded ¨ariation. We extend this theorem to metric space valued mappings of bounded va