Open AccessComplete Continuity of Some Nonlinear Volterra Operator in Banach Spaces
Author(s) -
Martin Väth
Publication year - 1998
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/806
Subject(s) - finite rank operator , mathematics , banach space , nonlinear system , c0 semigroup , pure mathematics , operator (biology) , pseudo monotone operator , unbounded operator , mathematical analysis , operator space , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
We consider continuity and compactness of the particular Volterra operator Hx(t) = f' 0 K(r)x(r) di-, where K(t) is a nonlinear continuous and compact or a-Lipschitz operator in some Banach space.
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