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Weakly wandering vectors for Abelian unitary actions

Published online by Cambridge University Press:  18 July 2005

BORIS BEGUN
BORIS BEGUN
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem 91904, Israel (e-mail: [email protected])
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Abstract

A result of Krengel on the density of the set of vectors with infinitely many pairwise orthogonal iterates under powers of a unitary operator with continuous spectrum is generalized to actions of countable Abelian groups.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 5 , October 2005 , pp. 1471 - 1483
Copyright
2005 Cambridge University Press

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