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Based on a spectral problem raised by Barría and Halmos, a new class of Hardy-Hilbert space operators, containing the classical Toeplitz operators, is introduced, and some of their Toeplitz-like algebraic and operator-theoretic properties are studied and explored

journal of operators

On Some Algebraic and Operator-Theoretic Properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-Toeplitz Operators

On Some Algebraic and Operator-Theoretic Properties of λ-Toeplitz Operators