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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, Joseph A. Cima, Stephan Ramon Garcia, Warren R. Wogen, JOSEPH A. CIMA, STEPHAN RAMON GARCIA +2 others
- 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.

- Stephan Ramon Garcia, William T. Ross, Warren R. Wogen, STEPHAN RAMON
- 2013

We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maximal algebras of truncated Toeplitz operators.