Abstract
Operators that leave invariant a given maximal chain form the main topic of this chapter. Such operators may be viewed as the infinite dimensional analogues of matrices in upper triangular form. Volt erra operators with a one dimensional imaginary part provide the simplest examples and they are identified up to unitary equivalence. In this chapter all operators act on a separable Hilbert space H, and the elements of a chain are assumed to be orthogonal projections.
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