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On nonlinear monotone operators with values in \(L(X,Y)\). (English) Zbl 0828.47041

Constantin Carathéodory: an international tribute. Vol. I, 454-460 (1991).
The authors consider monotone multivalued mappings on a Frechet space \(X\) with values in \(L(X,Y)\), where \(Y\) is a normed lattice and \(L(X,Y)\) denotes the space of all linear continuous operators. Various versions of local boundedness of such mappings are established. The special case of the subdifferential of an indicator function is also discussed.
For the entire collection see [Zbl 0743.30042].

MSC:

47H05 Monotone operators and generalizations
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
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