Geodesic
Singlevaluedness of monotone operators on subspaces of GSG spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 255-261 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We extend Zajíček's theorem from [Za] about points of singlevaluedness of monotone operators on Asplund spaces. Namely we prove that every monotone operator on a subspace of a Banach space containing densely a continuous image of an Asplund space (these spaces are called GSG spaces) is singlevalued on the whole space except a $\sigma$-cone supported set.
We extend Zajíček's theorem from [Za] about points of singlevaluedness of monotone operators on Asplund spaces. Namely we prove that every monotone operator on a subspace of a Banach space containing densely a continuous image of an Asplund space (these spaces are called GSG spaces) is singlevalued on the whole space except a $\sigma$-cone supported set.
Classification : 46B20, 47H04, 47H05
Keywords: Asplund spaces; GSG spaces; monotone operators; countable dentability 
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     title = {Singlevaluedness of monotone operators on subspaces of {GSG} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {255--261},
     year = {1996},
     volume = {37},
     number = {2},
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     zbl = {0849.47025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a4/}
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Heisler, Martin. Singlevaluedness of monotone operators on subspaces of GSG spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 255-261. http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a4/