Vol. 27, No. 3, 1968

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Invariant subspaces of a direct sum of weighted shifts

Eric Albert Nordgren

Vol. 27 (1968), No. 3, 587–598
Abstract

The invariant subspaces of a direct sum of finitely many copies of the adjoint of a monotone 12 shift are shown to be spanned by the finite dimensional invariant subspaces that they include. For the case of two copies of such a shift, the invariant subspaces are characterized in terms of a spanning set of vectors, and all infinite dimensional invariant subspaces are shown to be cyclic.

Mathematical Subject Classification
Primary: 47.35
Milestones
Received: 28 August 1967
Published: 1 December 1968
Authors
Eric Albert Nordgren