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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© 1993 Springer Basel AG
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Gohberg, I., Kaashoek, M.A., Goldberg, S. (1993). Operators in Triangular Form. In: Classes of Linear Operators Vol. II. Operator Theory Advances and Applications, vol 63. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8558-4_3
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DOI: https://doi.org/10.1007/978-3-0348-8558-4_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9679-5
Online ISBN: 978-3-0348-8558-4
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