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- William T. Ross, Joseph A. Cima, Warren R. Wogen, WARREN R. WOGEN
- 2008

In this paper, we study the matrix representations of compressions of Toeplitz operators to the finite dimensional model spaces H 2 BH 2 , where B is a finite Blaschke product. In particular, we determine necessary and sufficient conditions-in terms of the matrix representation-of when a linear transformation on H 2 BH 2 is the compression of a Toeplitz… (More)

- William T. Ross, Jamie Gorson
- 2015

JID Campbell. Memory Handbook of mathematical cognition. Mathematical disabilities can occur as the result of some types of brain injury, in which case the proper term is acalculia, to distinguish it In J. Numerical cognition is a vibrant area that brings together scientists from different and diverse The Handbook of Mathematical Cognition. Jamie I.D.… (More)

- William T. Ross, Joseph A. Cima, +5 authors WARREN R. WOGEN
- 2009

A truncated Toeplitz operator Aϕ : K Θ → K Θ is the compression of a Toeplitz operator Tϕ : H 2 → H 2 to a model space K Θ := H 2 ⊖ ΘH 2. For Θ inner, let T Θ denote the set of all bounded truncated Toeplitz operators on K Θ. Our main result is a necessary and sufficient condition on inner functions Θ 1 and Θ 2 which guarantees that T Θ 1 and T Θ 2 are… (More)

Unlike Toeplitz operators on H 2 , truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically. In this note we provide criteria for a matrix with distinct eigenvalues to be unitarily equivalent to a truncated Toeplitz operator having an analytic symbol. This test is… (More)

- William T. Ross, Joseph A. Cima, Alec L. Matheson
- 2004

In this expository paper, we wish to survey both past and current work on the space of Cauchy transforms on the unit circle. By this we mean the collection K of analytic functions on the open unit disk D = {z ∈ C : |z| < 1} that take the form (1.1) (Kµ)(z) := dµ(ζ) 1 − ζz , where µ is a finite, complex, Borel measure on the unit circle T = ∂D. Our… (More)

Dedicated to J. A. Cima on the occasion of his 70th birthday and to over 45 years of dedicated service to mathematics.

This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason's seminal paper [88] from 2007.

- GABY A. C. SCHELLEKENS, PEETER W. J. VERLEGH, +18 authors Yvette Estourget
- 2010