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arxiv: 1304.2684 · v2 · pith:G2J4LVTInew · submitted 2013-04-09 · 🧮 math.FA

Operators That Attain their Minima

classification 🧮 math.FA
keywords operatorsattaindefinitionimportantcharacterizationclassescomplexconcerning
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In this paper we study the theory of operators on complex Hilbert spaces, which attain their minimum in the unit sphere. We prove some important results concerning the characterization of the N*, and also AN* operators, see respectively Definition 1.1 and Definition 1.3. The injective property plays an important role in these operators, and shall be established by these classes.

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