Abstract
Let A = (A 1,... A n ) be an n-tuple of bounded linear operators in a Hubert space H. A point z = (z 1,..., z n ) ∈ Cn is said to be a point of the left joint spectrum σ l (A) of the n-tuple A, if an n-tuple B = (B 1,..., B n ) of linear bounded operators in H, such that
does not exist.
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© 1995 Springer Science+Business Media Dordrecht
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Livšic, M.S., Kravitsky, N., Markus, A.S., Vinnikov, V. (1995). Joint Spectrum and the Spectral Mapping Theorem. In: Theory of Commuting Nonselfadjoint Operators. Mathematics and Its Applications, vol 332. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8561-3_5
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DOI: https://doi.org/10.1007/978-94-015-8561-3_5
Publisher Name: Springer, Dordrecht
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