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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 15, Fasc. ,
pages 215 - 225
 

ON THE ALMOST SURE APPROXIMATION AND CONVERGENCE OF LINEAR OPERATORS IN L2  -SPACES

L. J. Ciach
R. Jajte
A. Paszkiewicz

Abstract: We prove some results concerning the almost sure approximation of contractions in L
  2  by projections, unitary operators or partial isometries. In particular, a unitary operator for which no subsequence of ergodic means converges almost surely is constructed.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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