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math.FASep 3, 2006
20
citations (OpenAlex)
authors
  • M. D. Voisei
arXiv abstractPDF
paper

The Sum Theorem for Linear Maximal Monotone Operators

arXiv:math/0609069

Abstract

The goal of this article is to give a positive answer to Rockafellar's maximality of the sum conjecture in the linear multi-valued operator case.

3 pages

Cited by in corpus (7)

  • Monotone Linear Relations: Maximality and Fitzpatrick Functions
  • For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint
  • The Brezis-Browder Theorem revisited and properties of Fitzpatrick functions of order n
  • Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter
  • The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone
  • Location, identification, and representability of monotone operators in locally convex spaces
  • On Borwein-Wiersma Decompositions of Monotone Linear Relations
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