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arXiv · 1211.1048

Five classes of monotone linear relations and operators

Mclean Edwards
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Abstract

The relationships between five classes of monotonicity, namely 3^*-, 3-cyclic, strictly, para-, and maximal monotonicity, are explored for linear operators and linear relations in Hilbert space. Where classes overlap, examples are given; otherwise their relationships are noted for linear operators in $\mathcal{R}^2$, $\mathcal{R}^n$, and general Hilbert spaces. Along the way, some results for linear relations are obtained.

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Mclean Edwards. 2012-11-05. Five classes of monotone linear relations and operators. https://arxiv.org/abs/1211.1048

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