A+ CATEGORY SCIENTIFIC UNIT

Decompositions of Beurling type for $E_0$-semigroups

Volume 73 / 2006

Rolf Gohm Banach Center Publications 73 (2006), 167-176 MSC: Primary 46L55, 47D03; Secondary 81S25. DOI: 10.4064/bc73-0-11

Abstract

We define tensor product decompositions of $E_0$-semigroups with a structure analogous to a classical theorem of Beurling. Such decompositions can be characterized by adaptedness and exactness of unitary cocycles. For CCR-flows we show that such cocycles are convergent.

Authors

  • Rolf GohmDepartment of Mathematics
    University of Reading
    Whiteknights, PO Box 220
    Berkshire, RG6 6AX, UK
    e-mail

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