arXiv:1304.2684 Abstract | arXiv Analytics

arXiv:1304.2684 [math.FA]Abstract References Reviews Resources

Operators That Attain their Minima

Published 2013-04-09, updated 2013-05-15Version 2

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.

Comments: 18 pages. arXiv admin note: substantial text overlap with arXiv:1007.1477

Categories: math.FA

Keywords: complex hilbert spaces, injective property plays, important role, unit sphere, important results concerning

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