A Functional Model for SMP Matrices and the Jacobi Flow

2014/01/07 by Benjamin Eichinger, Eichinger, Benjamin, Florian Puchhammer +3
Mathematics · #30E05 #30F15 #46E22 #47B93 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:30E05 #msc:30F15 #msc:46E22 #msc:47B93

paper · pdf · doi:10.48550/arxiv.1401.1320

20 pages, 3 figures, supported by the Austrian Science Fund FWF, project no: P22025-N18

arxiv created 2014/01/07 · arxiv updated 2014/01/08

Abstract

This is the second part of the paper arXiv:1309.0959v2 on the theory of SMP (Strong Moment Problem) matrices and their relation to the Killip-Simon problem on two disjoint intervals. In this part we define and study the Jacobi flow on SMP matrices.

Citations

• Killip-Simon-classes of Jacobi matrices with essential spectrum on two symmetric and of SMP matrices on two arbitrary intervals

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