2015/05/27 by György Pál Gehér, Gehér, György Pál
Computer Science · Mathematics · #47 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:47
paper · pdf · doi:10.48550/arxiv.1505.07205
96 pages, 6 chapters, 3 figures. Page 87-89 was written in Hungarian, but it is the same as page 84-86. phd thesis, University of Szeged
arxiv created 2015/05/27 · openalex publication_date 2015/05/27 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This dissertation summarizes my investigations in operator theory during my PhD studies. The first chapter is an introduction to that field of operator theory which was developed by B. Sz.-Nagy and C. Foias, the theory of power-bounded Hilbert space operators. In the second and third chapter I characterize operators which arise from power-bounded operators asymptotically. Chapter 4 is devoted to provide a possible generalization of (the necessity part of) Sz.-Nagy's famous similarity theorem. In Chapter 5 I collected my results concerning the commutant mapping of asymptotically non-vanishing contractions. In the final chapter the reader can find results about cyclic properties of weighted shift operators on directed trees.