Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behaviour of Hilbert space operators with applications   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.

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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th