In:
Journal of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 29, No. 4 ( 1980-06), p. 399-406
Abstract:
We prove a result on compactness properties of Fréchet-derivatives which implies that the Fréchet-derivative of a weakly compact map between Banach spaces is weakly compact. This result is applied to characterize certain weakly compact composition operators on Sobolev spaces which have application in the theory of nonlinear integral equations and in the calculus of variations.
Type of Medium:
Online Resource
ISSN:
1446-7887
,
1446-8107
DOI:
10.1017/S1446788700021558
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1980
detail.hit.zdb_id:
1478743-X
SSG:
17,1
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