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- W4300190377 abstract "We study subnormal Toeplitz operators on the vector-valued Hardy space of the unit circle, along with an appropriate reformulation of P.R. Halmos's Problem 5: Which subnormal block Toeplitz operators are either normal or analytic? We extend and prove Abrahamse's Theorem to the case of matrix-valued symbols; that is, we show that every subnormal block Toeplitz operator with bounded type symbol (i.e., a quotient of two analytic functions), whose co-analytic part has a coprime decomposition, is normal or analytic. We also prove that the coprime decomposition condition is essential. Finally, we examine a well known conjecture, of whether every submormal Toeplitz operator with finite rank self-commutator is normal or analytic." @default.
- W4300190377 created "2022-10-03" @default.
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- W4300190377 date "2012-01-28" @default.
- W4300190377 modified "2023-10-16" @default.
- W4300190377 title "Which subnormal Toeplitz operators are either normal or analytic?" @default.
- W4300190377 doi "https://doi.org/10.48550/arxiv.1201.5974" @default.
- W4300190377 hasPublicationYear "2012" @default.
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