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 …

Equations with Involutive Operators demonstrates an important interplay between abstract
and concrete operator theory. The focus is on the investigation of a number of equations …

This unique book is devoted to the detailed study of the recently discovered commutative C*-
algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key …

This paper is a survey of the basics of the theory of two projections. It contains in particular
the theorem by Halmos on two orthogonal projections and Roch, Silbermann, Gohberg, and …

Written as a hybrid between a research monograph and a textbook the first half of this book
is concerned with basic concepts for the study of Banach algebras that, in a sense, are not …

We study some algebras generated by the singular integral operator with the quaternionic
Cauchy kernel and the multiplication operators by continuous or piece-wise continuous …

It is well known that for Banach algebras generated by two idempotents and the identity all
irreducible representations are of order not greater than two. These representations have …

Sum and intersection of linear subspaces in a vector space over a field are fundamental
operations in linear algebra. The purpose of this survey paper is to give a comprehensive …

We consider von Neumann algebras generated by two arbitrary orthoprojections on a
Hilbert space. A canonical decomposition is obtained for elements A of these algebras in …

Necessary and sufficient conditions are found for the possibility of an extension of
Invertibility Symbols from a dense subalgebra to its closure. It is proved that such an …