Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type

Details Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type

2011-04-05

arxiv.org/abs/1104.0750v1

Mathematics

Functional Analysis

8 pages

Scientific paper

We show that every maximally monotone operator of Fitzpatrick-Phelps type
defined on a real Banach space must be of dense type. This provides an
affirmative answer to a question posed by Stephen Simons in 2001 and implies
that various important notions of monotonicity coincide.

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