Article ID Journal Published Year Pages File Type
8959556 Journal of Mathematical Analysis and Applications 2018 19 Pages PDF
Abstract
We study the spectral properties of positive absolutely minimum attaining operators defined on infinite dimensional complex Hilbert spaces and using this we derive a characterization theorem for such type of operators. We construct several examples and discuss some of the properties of this class. Also, we extend this characterization theorem for general absolutely minimum attaining operators by means of the polar decomposition theorem.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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