An important property within the linear theory of best L1-approximation, the so-called Property A, is discussed. Indeed, this property characterizes all finite-dimensional L1(μ)- unicity subspaces of continuous functions with respect to measures μ of a big class. Moreover, some extensions are considered: Property Ak, characterizing those subspaces where the sets of best L1(μ)-approximations have at most dimension k, and Property Aper characterizing L1(μ)-unicity subspaces of continuous periodic functions.
Property A and best L1-Approximation
Sommer M. (2019) "Property A and best L1-Approximation " Dolomites Research Notes on Approximation, 12(Special_Issue), 29-37. DOI: 10.14658/PUPJ-DRNA-2019-Special_Issue-5
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Dolomites Research Notes on Approximation
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