Analytic Toeplitz algebras and intertwining operators
نویسندگان
چکیده
منابع مشابه
Intertwining Relations and Extended Eigenvalues for Analytic Toeplitz Operators
We study the intertwining relation XTφ = TψX where Tφ and Tψ are the Toeplitz operators induced on the Hardy space H 2 by analytic functions φ and ψ, bounded on the open unit disc U, and X is a nonzero bounded linear operator on H. Our work centers on the connection between intertwining and the image containment ψ(U) ⊂ φ(U), as well as on the nature of the intertwining operator X. We use our re...
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Continuing [C3,C4], we study the intertwining operators of double affine Hecke algebras H. They appeared in several papers (especially in [C2,C4,C6]). However for the first time here we apply them systematically to create the nonsymmetric [M3,C4] and symmetric [M2] Macdonald polynomials for arbitrary root systems and to start the theory of induced and co-spherical H-modules. The importance of t...
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The non-commutative analytic Toeplitz algebra is the wot-closed algebra generated by the left regular representation of the free semigroup on n generators. The structure theory of contractions in these algebras is examined. Each is shown to have an H∞ functional calculus. The isometries defined by words are shown to factor only as the words do over the unit ball of the algebra. This turns out t...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1989
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-93-3-241-247