Operators That Achieve the Norm

By X. Carvajal, Wladimir A. P. Neves. 2010

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In this paper we study the theory of operators on complex Hilbert spaces, which achieve the norm in the unit sphere. We prove important results concerning the characterization of the $${\mathcal{AN} }$$ operators, see Definition 1.2. The class of the $${\mathcal{AN}}$$ operators contains the algebra of the compact ones.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e84a641301f8dba38709977c5fa0b8c5995788e8