Geodesic
On the spectrum of a nonlinear operator associated with calculation of the norm of a linear vector-functional
Eurasian mathematical journal, Tome 5 (2014) no. 2, pp. 132-138 
V. I. Burenkov; T. V. Tararykova. On the spectrum of a nonlinear operator associated with calculation of the norm of a linear vector-functional. Eurasian mathematical journal, Tome 5 (2014) no. 2, pp. 132-138. http://geodesic.mathdoc.fr/item/EMJ_2014_5_2_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An explicit formula is presented for the norm if $1\le p\le\infty$ and for the quasi-norm if $0$ of a linear vector-functional $L\colon H\to l_p$ on a Hilbert space $H$ and the set of all extremal elements is described. All eigenvalues and eigenvectors of a nonlinear homogeneous operator entering the corresponding Euler's equation, are written out explicitly.

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