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arxiv: 1007.1477 · v2 · pith:E3M6XDVBnew · submitted 2010-07-08 · 🧮 math.FA

Operators that achieve the norm

classification 🧮 math.FA
keywords operatorsachievenormalgebracharacterizationclasscompactcomplex
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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 AN operators, see Definition 1.2. The class of AN operators contains the algebra of the compact ones.

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