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Linear Monotone Subspaces of Locally Convex Spaces

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Abstract

The main focus of this paper is to study multi-valued linear monotone operators in the context of locally convex spaces via the use of their Fitzpatrick and Penot functions. Notions such as maximal monotonicity, uniqueness, negative-infimum, and (dual-)representability are studied and criteria are provided.

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Authors and Affiliations

  1. Department of Mathematics, Towson University, Towson, MD, USA

    M. D. Voisei

  2. Faculty of Mathematics, University “Al.I.Cuza” Iaşi, 700506, Iaşi, Romania

    C. Zălinescu

  3. Institute of Mathematics Octav Mayer, Iaşi, Romania

    C. Zălinescu

Authors
  1. M. D. Voisei
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  2. C. Zălinescu
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Correspondence to C. Zălinescu.

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Voisei, M.D., Zălinescu, C. Linear Monotone Subspaces of Locally Convex Spaces. Set-Valued Anal 18, 29–55 (2010). https://doi.org/10.1007/s11228-009-0129-9

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  • DOI: https://doi.org/10.1007/s11228-009-0129-9

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