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Joint Spectrum and Discriminant Varieties of Commuting Nonselfadjoint Operators

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Nonselfadjoint Operators and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 73))

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Abstract

The theory of commuting operators with finite-dimensional imaginary parts which has been developed during the last decade yielded fruitful connections with algebraic geometry. Let A = (A 1,..., A n ) be an n-tuple of commuting bounded operators with finite non-Hermitian rank in a Hilbert space H and let A* = (A *1 ,..., A * n ) be the adjoint n-tuple.

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References

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A. Feintuch I. Gohberg

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© 1994 Springer Basel AG

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Livšic, M.S., Markus, A.S. (1994). Joint Spectrum and Discriminant Varieties of Commuting Nonselfadjoint Operators. In: Feintuch, A., Gohberg, I. (eds) Nonselfadjoint Operators and Related Topics. Operator Theory: Advances and Applications, vol 73. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8522-5_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8522-5_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9663-4

  • Online ISBN: 978-3-0348-8522-5

  • eBook Packages: Springer Book Archive

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