Grzegorz Lewicki
Strong unicity criterion in some space of operators
Comment.Math.Univ.Carolinae 34,1 (1993) 81-87.
Abstract: Let X be a finite dimensional Banach space and let Y ⊂ X be a hyperplane. LetLY ={L∈L(X, Y) :L|Y= 0}. In this note, we present sufficient and necessary conditions onL0 ∈LY being a strongly unique best approximation for given L ∈L(X). Next we apply this characterization to the case of X =l∞n and to generalization of Theorem I.1.3 from [12] (see also [13]).
Keywords: best approximation, strongly unique best approximation, approxima- tion in spaces of linear operators
AMS Subject Classification: Primary 41A65, 41A52, 41A35
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