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- W2017230744 abstract "In this paper we study the concepts of spectral domain and complete spectral domain in several complex variables. For a domain Ω in Cn and an n-tuple T of commuting operators on a Hilbert space H such that the Taylor spectrum of T is a subset of Ω, we introduce the quantities KΩ(T ) and MΩ(T ). These quantities are related to the quantities KX(T ) and MX(T ) introduced by Paulsen for a compact subset X. When T is an n-tuple of 2×2 matrices, KΩ(T ) and MΩ(T ) are expressed in terms of the Caratheodory metric and the Mobius distance. This in turn answers a question by Paulsen for tuples of 2×2 matrices. We also establish von Neumann’s inequality for an n-tuple of upper triangular Toeplitz matrices. We study the regularity of KΩ(T ) and MΩ(T ) and obtain various comparisons of these two quantities when T is an n-tuple of Jordan blocks." @default.
- W2017230744 created "2016-06-24" @default.
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- W2017230744 date "1997-12-01" @default.
- W2017230744 modified "2023-09-23" @default.
- W2017230744 title "Spectral Domains in Several Complex Variables" @default.
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- W2017230744 doi "https://doi.org/10.1216/rmjm/1181071863" @default.
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