Abstract
It is shown that a cyclic selfadjoint operator in a Pontrjagin space is unitarily equivalent to the operator A φ of multiplication by the independent variable in some space Π(φ) generated by a “distribution” φ. Further, criteria for the unitary equivalence of two such operators A φ , A φ are given.
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© 1992 Springer Basel AG
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Jonas, P., Langer, H., Textorius, B. (1992). Models and Unitary Equivalence of Cyclic Selfadjoint Operators in Pontrjagin Spaces. In: Ando, T., Gohberg, I. (eds) Operator Theory and Complex Analysis. Operator Theory: Advances and Applications, vol 59. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8606-2_13
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DOI: https://doi.org/10.1007/978-3-0348-8606-2_13
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