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Extensions of linear operators from hyperplanes of l ( n )

Marco Baronti, Vito Fragnelli, Grzegorz Lewicki (1995)

Commentationes Mathematicae Universitatis Carolinae

Let Y l ( n ) be a hyperplane and let A ( Y ) be given. Denote 𝒜 = { L ( l ( n ) , Y ) : L Y = A } and λ A = inf { L : L 𝒜 } . In this paper the problem of calculating of the constant λ A is studied. We present a complete characterization of those A ( Y ) for which λ A = A . Next we consider the case λ A > A . Finally some computer examples will be presented.

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