Compressions of Multiplication Operators and Their Characterizations
M. Cristina Câmara, Kamila Kliś–Garlicka, Bartosz Łanucha, Marek Ptak
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Source: Crossref
Published: Oct 1, 2020
DOI: 10.1007/s00025-020-01283-4
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Abstract Dual truncated Toeplitz operators and other restrictions of the multiplication by the independent variable M z on the classical L 2 space on the unit circle are investigated. Commutators are calculated and commutativity is characterized. A necessary and sufficient condition for any operator to be a dual truncated Toeplitz operator is established. A formula for recovering its symbol is stated.
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