Limit Operators and Their Applications in Operator Theory

The book is devoted to a class of operators which occurs in almost every part of mathematics: band and band-dominated operators on spaces of vector-valued sequences. The main emphasis is on Fredholm theory for these operators, and the main tool to study this topic is the method of limit operators. Applications are presented to several important classes of such operators: convolution type operators, pseudodifferential and pseudodifference operators.