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Full-Text Articles in Other Mathematics
Concrete Examples Of H(B) Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Concrete Examples Of H(B) Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper we give an explicit description of de Branges-Rovnyak spaces H(b) when b is of the form qr, where q is a rational outer function in the closed unit ball of H∞ and r is a positive number.
An Inner-Outer Factorization In ℓp With Applications To Arma Processes, Raymond Cheng, William T. Ross
An Inner-Outer Factorization In ℓp With Applications To Arma Processes, Raymond Cheng, William T. Ross
Department of Math & Statistics Faculty Publications
The following inner-outer type factorization is obtained for the sequence space ℓp: if the complex sequence F = (F0, F1,F2,...) decays geometrically, then for an p sufficiently close to 2 there exists J and G in ℓp such that F = J * G; J is orthogonal in the Birkhoff-James sense to all of its forward shifts SJ, S2J, S3J, ...; J and F generate the same S-invariant subspace of ℓp; and G is a cyclic vector for S on ℓ …
Real Complex Functions, Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Real Complex Functions, Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
We survey a few classes of analytic functions on the disk that have real boundary values almost everywhere on the unit circle. We explore some of their properties, various decompositions, and some connections these functions make to operator theory.