Linear Monotone Subspaces of Locally Convex Spaces

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

The main focus of this paper is to study multi-valued linear monotone
operators in the contexts of locally convex spaces via the use of their
Fitzpatrick and Penot functions. Notions such as maximal monotonicity,
uniqueness, negative-infimum, and (dual-) representability are studied and
criteria are provided.

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