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Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper we examine the multipliers from one model space to another.
The Range And Valence Of A Real Smirnov Function, Timothy Ferguson, William T. Ross
The Range And Valence Of A Real Smirnov Function, Timothy Ferguson, William T. Ross
Department of Math & Statistics Faculty Publications
We give a complete description of the possible ranges of real Smirnov functions (quotients of two bounded analytic functions on the open unit disk where the denominator is outer and such that the radial boundary values are real almost everywhere on the unit circle). Our techniques use the theory of unbounded symmetric Toeplitz operators, some general theory of unbounded symmetric operators, classical Hardy spaces, and an application of the uniformization theorem. In addition, we completely characterize the possible valences for these real Smirnov functions when the valence is finite. To do so we construct Riemann surfaces we call disk trees …
Multipliers Of Sequence Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Multipliers Of Sequence Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality.
Introduction To Model Spaces And Their Operators, William T. Ross, Stephan Ramon Garcia, Javad Mashreghi
Introduction To Model Spaces And Their Operators, William T. Ross, Stephan Ramon Garcia, Javad Mashreghi
Bookshelf
The study of model spaces, the closed invariant subspaces of the backward shift operator, is a vast area of research with connections to complex analysis, operator theory and functional analysis. This self-contained text is the ideal introduction for newcomers to the field. It sets out the basic ideas and quickly takes the reader through the history of the subject before ending up at the frontier of mathematical analysis. Open questions point to potential areas of future research, offering plenty of inspiration to graduate students wishing to advance further.
Bad Boundary Behavior In Star Invariant Subspaces Ii, William T. Ross, Andreas Hartmann
Bad Boundary Behavior In Star Invariant Subspaces Ii, William T. Ross, Andreas Hartmann
Department of Math & Statistics Faculty Publications
We continue our study begun in [HR11] concerning the radial growth of functions in the model spaces (IH2)⊥.