الصفحة 1
الصفحة 1
Infinite matrices and their finite sections : An introduction to the limit operator method
In this book we are concerned with the study of a certain class of infinite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their finite truncations. Let us take these two properties as a starting point for the big picture that shall be presented in what follows. Stability Fredholmness We think of our infinite matrices as bounded linear operators on a Banach space E of two-sided infinite sequences.The class of operators we are interested in consists of those bounded and linear operatorson E which can be approximated in the operator norm by b and matrices. We refer to them as band-dominated operators. Of course, these considerations 2 are not limited to the space E = . We will widen the selection of the underlying space E in three directions: p
English Prosodic Morphology
Presents an optimality-theoretic account of the data in the framework of Prosodic Morphology. Pertinent theoretical claims are evaluated in the light of the empirical findings from English, leading to an analysis which can successfully predict canonical form in truncation and which incorporates systematic variability in output structure. This volume is a contribution to the study of both English word-formation and English phonology, and can be used by scholars working inside and outside OT alike.
