Blaschke products generate 𝐻^{∞}

DOI10.1090/S0002-9904-1976-14071-2zbMath0327.30029OpenAlexW1513380723MaRDI QIDQ4092238

Donald E. Marshall

Publication date: 1976

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1976-14071-2

Mathematics Subject Classification ID

Related Items (20)

Inner Functions on the Polydisc ⋮ A characterization of compact perturbations of Toeplitz operators ⋮ A non-selfadjoint Russo-Dye theorem ⋮ Convex-transitive Douglas algebras ⋮ Approximating characteristic of functions of class BII ⋮ Uniform approximation by indestructible Blaschke products ⋮ Paths of inner-related functions ⋮ Little Hankel operators on the Bergman space ⋮ Funktionen vom Betrage Eins in abstrakten Hardy-Algebren ⋮ Inner divisors and composition operators ⋮ Approximation in the Closed Unit Ball ⋮ On the structure of Hankel algebras ⋮ On systems with spectral cluster points and their relation toH^pspaces ⋮ Flows in Fibers ⋮ Applications of the Wold decomposition to the study of row contractions associated with directed graphs ⋮ On operators commuting with Toeplitz operators modulo the compact operators ⋮ Algebras generated by inner functions ⋮ Inner functions in the unit ball of \({\mathbb{C}}^ n\) ⋮ Hyponormality of Toeplitz Operators ⋮ Cluster sets of interpolating Blaschke products

Cites Work

• Algebras generated by inner functions
• Extreme points in function algebras
• Cyclic vectors and invariant subspaces of the backward shift operator
• Approximation by inner functions
• The convex hull of the finite Blaschke products
• Convex combinations of unimodular functions
• Another theorem on convex combinations of unimodular functions
• On a Paper of Phelps
• Approximation by Unimodular Functions

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