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Some properties of maximal monotone operators on nonreflexive Banach spaces (1995)

Fitzpatrick, S. P. ; Phelps, R. R.

Springer

Set-valued analysis 3 (1995), S. 51-69

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ISSN: 1572-932X

Keywords: 47H04 ; 47H05 ; 58C20 ; 46G05 ; maximal monotone operators ; Banach spaces ; convex functions ; subdifferentials

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Important properties of maximal monotone operators on reflexive Banach spaces remain open questions in the nonreflexive case. The aim of this paper is to investigate some of these questions for the proper subclass of locally maximal monotone operators. (This coincides with the class of maximal monotone operators in reflexive spaces.) Some relationships are established with the maximal monotone operators of dense type, which were introduced by J.-P. Gossez for the same purpose.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01033641

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