This is an announcement for the paper "The sum and chain rules for maximal monotone operators" by M.D. Voisei.

Abstract: This paper is primarily concerned with the problem of maximality for the sum $A+B$ and composition $L^{*}ML$ in non-reflexive Banach space settings under qualifications constraints involving the domains of $A,B,M$. Here $X$, $Y$ are Banach spaces with duals $X^{*}$, $Y^{*}$, $A,B:X\rightrightarrows X^{*}$, $M:Y\rightrightarrows Y^{*}$ are multi-valued maximal monotone operators, and $L:X\rightarrow Y$ is linear bounded. Based on the Fitzpatrick function, new characterizations for the maximality of an operator as well as simpler proofs, improvements of previously known results, and several new results on the topic are presented.

Archive classification: Functional Analysis

Mathematics Subject Classification: 47H05, 46N10

Remarks: 17 pages, submitted to Set-Valued Analysis

The source file(s), tscr.tex: 42800 bytes, is(are) stored in gzipped form as 0609296.gz with size 12kb. The corresponding postcript file has gzipped size 60kb.

Submitted from: mvoisei@utpa.edu

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http://arXiv.org/abs/math.FA/0609296

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