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Affine Projections on Adapted Subalgebras of Continuous Functions

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Abstract

In this paper we study a particular class of positive projections defined on an adapted subalgebra of continuous real-valued functions. Among other things, we characterize the existence of such projections in terms of representing measures concentrated on the Choquet boundary and we show their strong connection with the abstract Dirichlet problem. Finally we show how to construct Korovkin subsets for such projections.

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Authors and Affiliations

  1. Dipartamento di Mathematica, Universitá di Bari, via E. Orabona, 4, 70125, Bari, Italy

    Francesco Altomare & Mirella Cappelletti Montano

Authors
  1. Francesco Altomare
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  2. Mirella Cappelletti Montano
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Correspondence to Francesco Altomare.

Additional information

Mathematics Subject classification (2000): Primary:47B38, 47B65, 31C99. Secondary 46E25, 41A36.

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Altomare, F., Montano, M.C. Affine Projections on Adapted Subalgebras of Continuous Functions. Positivity 9, 625–643 (2005). https://doi.org/10.1007/s11117-005-2717-8

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  • DOI: https://doi.org/10.1007/s11117-005-2717-8

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