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Symmetric multiparameter problems and deficiency index theory
Published online by Cambridge University Press: 13 July 2011
Extract
In this article we study the multiparameter generalization of standard deficiency index theory. A classical result in this area states that if T is a symmetric operator in a Hilbert space then the dimension of the null space of T*−λI, λ∈ℂ, is constant for λ belonging to the upper (or lower) half-plane and further, when these two constants are equal, T admits a self-adjoint extension.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 481 - 488
- Copyright
- Copyright © Edinburgh Mathematical Society 1988
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