Cowen sets for Toeplitz operators
نویسندگان
چکیده
منابع مشابه
Reduced Cowen Sets
For f ∈ H2, let Gf := {g ∈ zH : f + g ∈ L∞ and Tf+g is hyponormal}. In 1988, C. Cowen posed the following question: If g ∈ Gf is such that λ g / ∈ Gf (all λ ∈ C, |λ| > 1), is g an extreme point of Gf ? In this note we answer this question in the negative. At the same time, we obtain a general sufficient condition for the answer to be affirmative; that is, when f ∈ H∞ is such that rankHf < ∞.
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2023
ISSN: ['1848-9974', '1846-3886']
DOI: https://doi.org/10.7153/oam-2023-17-25