Abstract

Let L(H) be the space of linear operators acting from the finite-dimensional real Hilbert space into itself. The purpose of this paper is to present results concerning the geometric properties of some subspaces of L(H). In particular, vertices of the closed unit ball of those subspaces are discussed. The problem of best approximation in the space L(l22) is investigated. Moreover, in this paper we show an example of an effective method seeking a unique minimal projection which is strongly unique.

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