Linear Monotone Subspaces of Locally Convex Spaces

2008/09/30 by M. D. Voisei, Voisei, M. D., C. Zalinescu +1
Mathematics · #47H05 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #math.FA #math.OC #msc:47H05

paper · pdf · doi:10.48550/arxiv.0809.5287

arxiv created 2008/09/30 · arxiv updated 2009/12/01

Abstract

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.

Related

• Location, identification, and representability of monotone operators in locally convex spaces
• The maximal monotonicity of the subdifferential in locally convex spaces via upper envelopes
• Relationships between Global and Local Monotonicity of Operators
• Maximal monotone normal cones in locally convex spaces
• Geometric properties of maximal monotone operators and convex functions which may represent them