On a Convexity Property of the Range of a Maximal Monotone Operator

DOI10.2307/2041724zbMath0331.47029OpenAlexW4235612794MaRDI QIDQ4097783

Jean Pierre Gossez

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041724

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued maps in general topology (54C60) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (10)

Some properties of maximal monotone operators on nonreflexive Banach spaces ⋮ Maximal monotonicity criteria for the composition and the sum under weak interiority conditions ⋮ A non-type (D) operator in \(c_0\) ⋮ The Brezis-Browder theorem in a general Banach space ⋮ Bounded approximants to monotone operators on Banach spaces ⋮ Unnamed Item ⋮ Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons ⋮ Gossez’s skew linear map and its pathological maximally monotone multifunctions ⋮ On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces ⋮ Subdifferentials are locally maximal monotone

Cites Work

• On the virtual convexity of the domain and range of a nonlinear maximal monotone operator
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• On the Subdifferentiability of Convex Functions
• On the Range of a Coercive Maximal Monotone Operator in a Nonreflexive Banach Space

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