Vol. 75, No. 2, 1978

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The structure of a special class of weighted translation semigroups

Mary Rodriguez Embry and Alan Leslie Lambert

Vol. 75 (1978), No. 2, 359–371
Abstract

A special class of weighted translation semigroups {St} on 2(+) is studied. The weakly closed algebra 𝒜 generated by the semigroup is maximal abelian and the spectra of elements of 𝒜 are studied. It is shown that each densely defined linear transformation commuting with 𝒜 is closable and that every transitive algebra containing 𝒜 is weakly dense in the full algebra of operators on L2(+).

Mathematical Subject Classification
Primary: 47D05, 47D05
Milestones
Received: 20 April 1977
Revised: 2 June 1977
Published: 1 April 1978
Authors
Mary Rodriguez Embry
Alan Leslie Lambert