Compressions of Multiplication Operators and Their Characterizations
Copyright policy )Compressions of Multiplication Operators and Their Characterizations
AbstractDual truncated Toeplitz operators and other restrictions of the multiplication by the independent variable $$M_z$$ M z on the classical $$L^2$$ 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.
- Instituto Superior de Espinho Portugal
- University of Agriculture Faisalabad Pakistan
- University of Agriculture in Krakow Poland
- Maria Curie-Skłodowska University Poland
- University of Lisbon Portugal
truncated Toeplitz operator, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Hardy spaces, model space, dual truncated Toeplitz operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators
truncated Toeplitz operator, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Hardy spaces, model space, dual truncated Toeplitz operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators
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