- Title
- Cone-montone functions: differentiability and continuity
- Creator
- Borwein, Jonathan M.; Wang, Xianfu
- Relation
- Canadian Journal of Mathematics Vol. 57, Issue 5, p. 961 - 982
- Publisher Link
- http://dx.doi.org/10.4153/CJM-2005-037-5
- Publisher
- University of Toronto Press
- Resource Type
- journal article
- Date
- 2005
- Description
- We provide a porosity-based approach to the differentiability and continuity of real-valued functions on separable Banach spaces, when the function is monotone with respect to an ordering induced by a convex cone K with non-empty interior. We also show that the set of nowhere K-monotone functions has a σ-porous complement in the space of continuous functions endowed with the uniform metric.
- Subject
- cone-monotone functions; Aronszajn null set; directionally porous; sets; Gâteaux differentiability; separable space
- Identifier
- http://hdl.handle.net/1959.13/927017
- Identifier
- uon:10018
- Identifier
- ISSN:0008-414X
- Language
- eng
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