Document Type
Report
Source Publication Title
Technical Report 37
Abstract
It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E). The results are applied to ordinary differential equations theory.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
2-1-1976
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Bernfeld, Stephen R.; Lakshmikantham, V.; and Eisenfeld, Jerome, "On the Construction of a Norm Associated with the Measure of Noncompactness" (1976). Mathematics Technical Papers. 263.
https://mavmatrix.uta.edu/math_technicalpapers/263