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arxiv: 1808.08045 · v1 · pith:SG6C3JQRnew · submitted 2018-08-24 · 🧮 math.FA

On the ascent-descent spectrum

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keywords spectraascentascent-descentboundedconceptconstructconvergencedescent
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We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Furthermore, we construct a new concept of convergence for such spectra.

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