Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-
contained exposition of the spectral theory of Toeplitz operators with piecewise continuous …

This text has two goals. It describes a topic: band and band-dominated operators and their
Fredholm theory, and it introduces a method to study this topic: limit operators. Band …

This book is an introduction to convolution operators with matrix-valued almost periodic or
semi-almost periodic symbols. The basic tools for the treatment of the operators are Wiener …

In this book we are concerned with the study of a certain class of in? nite matrices and two
important properties of them: their Fredholmness and the stability of the approximation by …

The central theme of the present paper are band and band-dominated operators, ie norm
limits of band operators. In the first part, we generalize the results from [24] and [25] …

In the first half of this memoir we explore the interrelationships between the abstract theory of
limit operators (see eg the recent monographs of Rabinovich, Roch and Silbermann (2004) …

Applying the theory of pseudodifferential and Calderón-Zygmund operators, we study the
compactness of commutators of multiplication operators aI and convolution operators W^ 0 …

In this paper we extend results on Fredholmness of singular integral operators with
piecewise continuous coefficients in reflexive rearrangement-invariant spaces X (Γ) with …

The theory of pseudodifferential operators was created in its modern form in the middle of
the sixties and now this theory plays an essential role in Mathematical Physics and Analysis …

The C*-algebra A _ n, m generated by the n poly-Bergman and m antipoly-Bergman
projections and by the operators of multiplication by piecewise continuous functions on the …