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ArticleOriginal scientific text

Title

Some remarks on the asymptotic behaviour of the iterates of a bounded linear operator

Authors 1, 2, 1

Affiliations

  1. Belgosuniversitet, Matematicheskiǐ Fakul'tet, Pl. Nezavisimosti, BR-220050 Minsk, Belarus
  2. Universität Würzburg, Mathematisches Institut, Am Hubland, D-97074 Würzburg, Germany

Abstract

We discuss the problem of characterizing the possible asymptotic behaviour of the norm of the iterates of a bounded linear operator between two Banach spaces. In particular, given an increasing sequence of positive numbers tending to infinity, we construct Banach spaces such that the norm of the iterates of a suitable multiplication operator between these spaces assumes (or exceeds) the values of this sequence.

Bibliography

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Studia Mathematica
1994-1995/112/1
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Pages:
1-11
Main language of publication
English
Received
1993-03-23
Accepted
1994-07-25
Published
1994
Exact and natural sciences